Edit Profile (opens in new tab) Sigal, Israel Michael Co-Author Distance Author ID: sigal.israel-michael Published as: Sigal, I. M.; Sigal, Israel Michael; Sigal, Israel M. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 152 Publications since 1976, including 8 Books and 13 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 66 Co-Authors with 119 Joint Publications 1,319 Co-Co-Authors all top 5 Co-Authors 33 single-authored 22 Fröhlich, Jürg Martin 14 Bach, Volker 13 Faupin, Jérémy 10 Ovchinnikov, Yuriĭ Nikolaevich 10 Soffer, Avraham 9 Merkli, Marco 8 Gang, Zhou 8 Gustafson, Stephen J. 6 Chen, Thomas 6 Chenn, Ilias 6 Tzaneteas, Tim 5 Lemm, Marius 4 Berman, Gennady P. 4 Breteaux, Sébastien 4 Dejak, Steven I. 4 Hislop, Peter D. 4 Zhang, Jingxuan 3 Anapolitanos, Ioannis 3 Egli, Daniel 3 Griesemer, Marcel 3 Jonsson, B. Lars G. 3 Pusateri, Fabio 3 Simon, Barry 2 Arbunich, Jack 2 Dusson, Geneviève 2 Ercolani, Nicholas M. 2 Ivrii, Victor Ja. 2 Kong, Wenbin 2 Lushnikov, Pavel Mikhaĭlovich 2 Mück, Matthias 2 Perry, Peter A. 2 Pyke, Randall M. 2 Seco, Luis Angel 2 Stamm, Benjamin 1 Abou-Salem, Walid K. 1 Antonopoulou, Dimitra C. 1 Ballesteros, Miguel 1 Bizoń, Piotr 1 Bony, Jean-François 1 Brownell, F. H. III 1 Burchard, Almut 1 Chouchkov, D. 1 De Siqueira Pedra, Walter 1 Debièvre, Stephan 1 Deckert, Dirk-André 1 Devinatz, Allen 1 Dolph, Charles L. 1 Enss, Volker 1 Fefferman, Charles Louis 1 Fournodavlos, Grigorios 1 Gardner, Adam 1 Gérard, Christian 1 Goodrich, Robert Kent 1 Gustafson, Karl Edwin 1 Hartman, R. L. 1 Howland, James S. 1 Hudson, Robin Lyth 1 Ion, Patrick D. F. 1 Jaffé, Charles 1 Johanson, G. 1 Jones, William Branham 1 Karali, Georgia D. 1 Klink, William H. 1 Knopf, Dan 1 Laptev, Ari 1 Marchand, Jean-Paul 1 Misra, Baidyanath 1 Parthasarathy, Kalyanapuram Rangachari 1 Rajaratnam, Krishan 1 Ramm, Alexander G. 1 Rayan, Steven 1 Reinhardt, William P. 1 Rubiliani, Carla 1 Salem, Walid Khaled Abou 1 Schechter, Martin 1 Schroeck, Franklin E. jun. 1 Seddighin, Morteza 1 Shao, Arick 1 Shirts, Randall B. 1 Sinha, Kalyan B. 1 Smyrnelis, Panayotis 1 Solovej, Jan Philip 1 Strauss, Yosef 1 Sulem, Catherine 1 Tadjeran, H. 1 Talidou, A. 1 Thron, Wolfgang Joseph 1 Ting, Fan 1 Ting, Fridolin Sze Thou 1 Ton-That, Tuong 1 Vasilijevic, B. 1 Wang, Shuangcai 1 Weder, Ricardo A. 1 Xia, Daoxing 1 Yang, Dong Hao Ou all top 5 Serials 18 Communications in Mathematical Physics 7 Reviews in Mathematical Physics 7 Advances in Mathematics 6 Journal of Statistical Physics 5 Journal of Mathematical Physics 5 Nonlinearity 5 Journal of Functional Analysis 4 Letters in Mathematical Physics 4 Duke Mathematical Journal 4 Annales Henri Poincaré 3 Memoirs of the American Mathematical Society 3 Advances in Applied Mathematics 3 Communications in Partial Differential Equations 3 Annals of Mathematics. Second Series 3 Universitext 2 Communications on Pure and Applied Mathematics 2 Physica D 2 Annals of Physics 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Nonlinear Science 2 St. Petersburg Mathematical Journal 1 Archive for Rational Mechanics and Analysis 1 Mathematics of Computation 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Physics, Analysis and Geometry 1 Physical Review Letters 1 Journal of Evolution Equations 1 Oberwolfach Reports 1 Dynamics of Partial Differential Equations 1 Bulletin of the American Mathematical Society 1 Applied Mathematical Sciences 1 CRM Proceedings & Lecture Notes 1 Lecture Notes in Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Advances in Mathematical Physics all top 5 Fields 101 Partial differential equations (35-XX) 98 Quantum theory (81-XX) 41 Operator theory (47-XX) 36 Statistical mechanics, structure of matter (82-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 5 Mechanics of particles and systems (70-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Functions of a complex variable (30-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 2,340 times in 1,265 Documents Cited by ▼ Year ▼ Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002 Hislop, P. D.; Sigal, I. M. 237 1996 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 152 1998 Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069 Perry, P.; Sigal, I. M.; Simon, B. 134 1981 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 110 1999 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009 Sigal, I. M.; Soffer, A. 97 1987 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 89 1998 Solitary wave dynamics in an external potential. Zbl 1075.35075 Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 55 2004 The quantum \(N\)-body problem. Zbl 0981.81026 Hunziker, W.; Sigal, I. M. 55 2000 Return to equilibrium. Zbl 1037.82029 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 52 2000 Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002 Gustafson, Stephen J.; Sigal, Israel Michael 48 2011 Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106 Sigal, I. M. 45 1993 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028 Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 44 2003 Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. Zbl 0503.47041 Sigal, I. M. 42 1982 Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065 Gang, Zhou; Sigal, I. M. 41 2007 Minimal escape velocities. Zbl 0944.35014 Hunziker, W.; Sigal, I. M.; Soffer, A. 39 1999 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028 Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 37 2007 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 37 1999 Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135 Ivrii, V. Ja.; Sigal, I. M. 35 1993 Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044 Fröhlich, J.; Griesemer, M.; Sigal, I. M. 33 2008 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197 Sigal, I. M.; Soffer, A. 31 1990 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048 Bach, V.; Fröhlich, J.; Sigal, I. M. 27 1995 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019 Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 27 2006 Effective dynamics of magnetic vortices. Zbl 1081.35102 Gustafson, S.; Sigal, I. M. 26 2006 Asymptotic stability of nonlinear Schrödinger equations with potential. Zbl 1086.82013 Gang, Zhou; Sigal, I. M. 24 2005 Resonance theory of decoherence and thermalization. Zbl 1201.81083 Merkli, M.; Sigal, I. M.; Berman, G. P. 23 2008 The stability of magnetic vortices. Zbl 0955.58015 Gustafson, S.; Sigal, I. M. 23 2000 Sharp exponential bounds on resonances states and width of resonances. Zbl 0652.47008 Sigal, I. M. 22 1988 Ground state and resonances in the standard model of the non-relativistic QED. Zbl 1166.82302 Sigal, Israel Michael 21 2009 A time-dependent theory of quantum resonances. Zbl 0934.47007 Merkli, M.; Sigal, I. M. 20 1999 On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105 Faupin, Jérémy; Sigal, Israel Michael 20 2014 Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008 Hunziker, W.; Sigal, I. M. 19 2000 Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043 Merkli, M.; Mück, M.; Sigal, I. M. 18 2007 Decoherence and thermalization. Zbl 1228.82060 Merkli, M.; Sigal, I. M.; Berman, G. P. 18 2007 Complex transformation method and resonances in one-body quantum systems. Zbl 0568.47008 Sigal, I. M. 18 1984 Mathematical concepts of quantum mechanics. Zbl 1033.81004 Gustafson, Stephen J.; Sigal, Israel Michael 18 2003 Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023 Merkli, Marco; Mück, Matthias; Sigal, Israel Michael 17 2007 Global Fourier integral operators and semiclassical asymptotics. Zbl 0962.35201 Laptev, A.; Sigal, I. M. 16 2000 Bound on the ionization energy of large atoms. Zbl 0714.35059 Seco, L. A.; Sigal, I. M.; Solovej, J. P. 16 1990 On long-range scattering. Zbl 0725.35071 Sigal, I. M. 16 1990 Space-time picture of semiclassical resonances. Zbl 0755.35102 Gérard, C.; Sigal, I. M. 16 1992 Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033 Gustafson, S.; Sigal, I. M.; Tzaneteas, T. 16 2010 Local decay in non-relativistic QED. Zbl 1237.81125 Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. 15 2012 Collapse of an instanton. Zbl 1059.35081 Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M. 15 2004 Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113 Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael 14 2012 On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084 Gang, Zhou; Sigal, I. M. 13 2006 Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116 Ovchinnikov, Yu. N.; Sigal, I. M. 13 1998 Neck pinching dynamics under mean curvature flow. Zbl 1179.53065 Gang, Zhou; Sigal, Israel Michael 13 2009 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091 Sigal, I. M.; Soffer, A. 13 1994 On spectral renormalization group. Zbl 1180.81102 Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 13 2009 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010 Sigal, I. M.; Soffer, A. 12 1993 Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Zbl 1440.53106 Gang, Zhou; Knopf, Dan; Sigal, Israel Michael 12 2018 Geometric theory of Stark resonances in multielectron systems. Zbl 0672.58050 Sigal, I. M. 11 1988 Stark effect in multielectron systems: Non-existence of bound states. Zbl 0684.35079 Sigal, I. M. 11 1989 Scattering theory for many-body quantum mechanical systems -rigorous results. Zbl 0522.47006 Sigal, Israel Michael 11 1983 Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115 Hislop, P. D.; Sigal, I. M. 11 1989 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091 Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 11 2013 Ionization of atoms in a thermal field. Zbl 1142.82347 Fröhlich, J.; Merkli, M.; Sigal, I. M. 10 2004 Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. Zbl 1218.81082 Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 10 2011 On the theory of resonances in non-relativistic quantum electrodynamics and related models. Zbl 1171.81428 Salem, W. K. Abou; Faupin, J.; Fröhlich, J.; Sigal, I. M. 10 2009 Dynamics of collective decoherence and thermalization. Zbl 1164.82005 Merkli, M.; Berman, G. P.; Sigal, I. M. 10 2008 Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078 Ovchinnikov, Yuri N.; Sigal, Israel M. 10 1997 Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403 Faupin, Jérémy; Sigal, Israel Michael 10 2014 Shape resonances in quantum mechanics. Zbl 0653.46074 Hislop, P. D.; Sigal, I. M. 9 1987 The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122 Ovchinnikov, Yu. N.; Sigal, I. M. 9 1998 Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289 Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. 9 2009 Mathematical foundations of quantum scattering theory for multiparticle systems. Zbl 0399.47008 Sigal, I. M. 9 1978 Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064 Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M. 9 1992 The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297 Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 9 2022 Geometric parametrices and the many-body Birman-Schwinger principle. Zbl 0543.47044 Sigal, I. M. 8 1983 On the discrete spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35061 Sigal, I. M. 8 1976 Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153 Tzaneteas, T.; Sigal, I. M. 7 2011 On collapse of wave maps. Zbl 1232.35138 Ovchinnikov, Yu. N.; Sigal, I. M. 7 2011 Blow-up in nonlinear heat equations. Zbl 1180.35130 Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai 7 2008 Analytic properties of the scattering matrix of many particle systems. Zbl 0605.47009 Sigal, I. M. 7 1986 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060 Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Long-range behavior of the van der Waals force. Zbl 1376.81087 Anapolitanos, Ioannis; Sigal, Israel Michael 7 2017 Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181 Sigal, Israel Michael; Tzaneteas, Tim 6 2012 Long-time dynamics of KdV solitary waves over a variable bottom. Zbl 1145.35096 Dejak, Steven I.; Sigal, Israel Michael 6 2006 Pinning of magnetic vortices by an external potential. Zbl 1067.58015 Sigal, I. M.; Ting, F. 6 2004 On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210 Tzaneteas, T.; Sigal, I. M. 6 2013 Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109 Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M. 6 2020 Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132 Antonopoulou, D.; Karali, G.; Sigal, I. M. 5 2010 The general theory of \(N\)-body quantum systems. Zbl 0821.35036 Hunziker, W.; Sigal, I. M. 5 1995 Suppression of decoherence by periodic forcing. Zbl 1300.81010 Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael 5 2014 On stability of Abrikosov vortex lattices. Zbl 1401.82059 Sigal, Israel Michael; Tzaneteas, Tim 5 2018 On long range behaviour of van der Waals force. Zbl 1339.81020 Anapolitanos, I.; Sigal, I. M. 5 2015 The energy of Ginzburg-Landau vortices. Zbl 1209.35041 Ovchinnikov, Y. N.; Sigal, I. M. 5 2002 On effective PDEs of quantum physics. Zbl 1428.35419 Chenn, Ilias; Sigal, I. M. 5 2019 Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084 Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael 5 2013 Effective dynamics of a magnetic vortex in a local potential. Zbl 1106.78004 Strauss, Y.; Sigal, I. M. 4 2006 On quantum mechanics of many-body systems with dilation-analytic potentials. Zbl 0399.47009 Sigal, I. M. 4 1978 Renormalization group and problem of radiation. Zbl 1292.81137 Sigal, Israel Michael 4 2012 Maximal speed of quantum propagation. Zbl 1475.35301 Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 4 2021 Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112 Pusateri, Fabio; Sigal, Israel Michael 4 2021 On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293 Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael 4 2018 Mathematical theory of single channel systems analyticity of scattering matrix. Zbl 0503.35028 Sigal, I. M. 3 1982 On spectra of linearized operators for Keller-Segel models of chemotaxis. Zbl 1253.92008 Dejak, S. I.; Lushnikov, P. M.; Ovchinnikov, Yu. N.; Sigal, I. M. 3 2012 Asymptotic completeness of many-body short-range systems. Zbl 0559.46036 Sigal, I. M. 3 1984 Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Zbl 0970.35140 Ovchinnikov, Yu. N.; Sigal, I. M. 3 2000 On the point spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35062 Sigal, I. M. 3 1976 Analysis of the Feshbach-Schur method for the Fourier spectral discretizations of Schrödinger operators. Zbl 1502.65225 Dusson, Geneviève; Sigal, Israel Michael; Stamm, Benjamin 1 2023 The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297 Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 9 2022 On Lieb-Robinson bounds for the Bose-Hubbard model. Zbl 1502.81071 Faupin, Jérémy; Lemm, Marius; Sigal, Israel Michael 1 2022 Maximal speed of quantum propagation. Zbl 1475.35301 Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. 4 2021 Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112 Pusateri, Fabio; Sigal, Israel Michael 4 2021 Vortex lattices and the Bogoliubov-de Gennes equations. Zbl 1465.82010 Chenn, Ilias; Sigal, Israel Michael 3 2021 The Feshbach-Schur map and perturbation theory. Zbl 07438887 Dusson, Geneviève; Sigal, Israel Michael; Stamm, Benjamin 1 2021 Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109 Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M. 6 2020 Mathematical concepts of quantum mechanics. 3rd edition. Zbl 1451.81002 Gustafson, Stephen J.; Sigal, Israel Michael 3 2020 On derivation of the Poisson-Boltzmann equation. Zbl 1448.35110 Chenn, Ilias; Sigal, I. M. 2 2020 On effective PDEs of quantum physics. Zbl 1428.35419 Chenn, Ilias; Sigal, I. M. 5 2019 Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Zbl 1440.53106 Gang, Zhou; Knopf, Dan; Sigal, Israel Michael 12 2018 On stability of Abrikosov vortex lattices. Zbl 1401.82059 Sigal, Israel Michael; Tzaneteas, Tim 5 2018 On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293 Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael 4 2018 The effective dynamics of the volume preserving mean curvature flow. Zbl 1396.82014 Chenn, Ilias; Fournodavlos, G.; Sigal, I. M. 2 2018 Long-range behavior of the van der Waals force. Zbl 1376.81087 Anapolitanos, Ioannis; Sigal, Israel Michael 7 2017 On long range behaviour of van der Waals force. Zbl 1339.81020 Anapolitanos, I.; Sigal, I. M. 5 2015 On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105 Faupin, Jérémy; Sigal, Israel Michael 20 2014 Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403 Faupin, Jérémy; Sigal, Israel Michael 10 2014 Suppression of decoherence by periodic forcing. Zbl 1300.81010 Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael 5 2014 On blowup dynamics in the Keller-Segel model of chemotaxis. Zbl 1326.35049 Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. 3 2014 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091 Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 11 2013 On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210 Tzaneteas, T.; Sigal, I. M. 6 2013 Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084 Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael 5 2013 Local decay in non-relativistic QED. Zbl 1237.81125 Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. 15 2012 Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113 Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael 14 2012 Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181 Sigal, Israel Michael; Tzaneteas, Tim 6 2012 Renormalization group and problem of radiation. Zbl 1292.81137 Sigal, Israel Michael 4 2012 On spectra of linearized operators for Keller-Segel models of chemotaxis. Zbl 1253.92008 Dejak, S. I.; Lushnikov, P. M.; Ovchinnikov, Yu. N.; Sigal, I. M. 3 2012 Abrikosov vortex lattices at weak magnetic fields. Zbl 1244.35140 Sigal, Israel Michael; Tzaneteas, Tim 3 2012 Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002 Gustafson, Stephen J.; Sigal, Israel Michael 48 2011 Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. Zbl 1218.81082 Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 10 2011 Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153 Tzaneteas, T.; Sigal, I. M. 7 2011 On collapse of wave maps. Zbl 1232.35138 Ovchinnikov, Yu. N.; Sigal, I. M. 7 2011 Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033 Gustafson, S.; Sigal, I. M.; Tzaneteas, T. 16 2010 Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132 Antonopoulou, D.; Karali, G.; Sigal, I. M. 5 2010 Resonant perturbation theory of decoherence and relaxation of quantum bits. Zbl 1201.81078 Merkli, M.; Berman, G. P.; Sigal, I. M. 1 2010 Ground state and resonances in the standard model of the non-relativistic QED. Zbl 1166.82302 Sigal, Israel Michael 21 2009 Neck pinching dynamics under mean curvature flow. Zbl 1179.53065 Gang, Zhou; Sigal, Israel Michael 13 2009 On spectral renormalization group. Zbl 1180.81102 Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 13 2009 On the theory of resonances in non-relativistic quantum electrodynamics and related models. Zbl 1171.81428 Salem, W. K. Abou; Faupin, J.; Fröhlich, J.; Sigal, I. M. 10 2009 Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289 Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. 9 2009 Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044 Fröhlich, J.; Griesemer, M.; Sigal, I. M. 33 2008 Resonance theory of decoherence and thermalization. Zbl 1201.81083 Merkli, M.; Sigal, I. M.; Berman, G. P. 23 2008 Dynamics of collective decoherence and thermalization. Zbl 1164.82005 Merkli, M.; Berman, G. P.; Sigal, I. M. 10 2008 Blow-up in nonlinear heat equations. Zbl 1180.35130 Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai 7 2008 Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065 Gang, Zhou; Sigal, I. M. 41 2007 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028 Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 37 2007 Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043 Merkli, M.; Mück, M.; Sigal, I. M. 18 2007 Decoherence and thermalization. Zbl 1228.82060 Merkli, M.; Sigal, I. M.; Berman, G. P. 18 2007 Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023 Merkli, Marco; Mück, Matthias; Sigal, Israel Michael 17 2007 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019 Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 27 2006 Effective dynamics of magnetic vortices. Zbl 1081.35102 Gustafson, S.; Sigal, I. M. 26 2006 On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084 Gang, Zhou; Sigal, I. M. 13 2006 Long-time dynamics of KdV solitary waves over a variable bottom. Zbl 1145.35096 Dejak, Steven I.; Sigal, Israel Michael 6 2006 Effective dynamics of a magnetic vortex in a local potential. Zbl 1106.78004 Strauss, Y.; Sigal, I. M. 4 2006 Asymptotic stability of nonlinear Schrödinger equations with potential. Zbl 1086.82013 Gang, Zhou; Sigal, I. M. 24 2005 Solitary wave dynamics in an external potential. Zbl 1075.35075 Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 55 2004 Collapse of an instanton. Zbl 1059.35081 Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M. 15 2004 Ionization of atoms in a thermal field. Zbl 1142.82347 Fröhlich, J.; Merkli, M.; Sigal, I. M. 10 2004 Pinning of magnetic vortices by an external potential. Zbl 1067.58015 Sigal, I. M.; Ting, F. 6 2004 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028 Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 44 2003 Mathematical concepts of quantum mechanics. Zbl 1033.81004 Gustafson, Stephen J.; Sigal, Israel Michael 18 2003 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060 Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 The energy of Ginzburg-Landau vortices. Zbl 1209.35041 Ovchinnikov, Y. N.; Sigal, I. M. 5 2002 The quantum \(N\)-body problem. Zbl 0981.81026 Hunziker, W.; Sigal, I. M. 55 2000 Return to equilibrium. Zbl 1037.82029 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 52 2000 The stability of magnetic vortices. Zbl 0955.58015 Gustafson, S.; Sigal, I. M. 23 2000 Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008 Hunziker, W.; Sigal, I. M. 19 2000 Global Fourier integral operators and semiclassical asymptotics. Zbl 0962.35201 Laptev, A.; Sigal, I. M. 16 2000 Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Zbl 0970.35140 Ovchinnikov, Yu. N.; Sigal, I. M. 3 2000 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 110 1999 Minimal escape velocities. Zbl 0944.35014 Hunziker, W.; Sigal, I. M.; Soffer, A. 39 1999 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 37 1999 A time-dependent theory of quantum resonances. Zbl 0934.47007 Merkli, M.; Sigal, I. M. 20 1999 QED of confined nonrelativistic particles – new results. Zbl 1253.81133 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 1 1999 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 152 1998 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041 Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 89 1998 Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116 Ovchinnikov, Yu. N.; Sigal, I. M. 13 1998 The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122 Ovchinnikov, Yu. N.; Sigal, I. M. 9 1998 Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078 Ovchinnikov, Yuri N.; Sigal, Israel M. 10 1997 Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002 Hislop, P. D.; Sigal, I. M. 237 1996 Asymptotic completeness. Zbl 0857.35106 Sigal, I. M. 1 1996 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048 Bach, V.; Fröhlich, J.; Sigal, I. M. 27 1995 The general theory of \(N\)-body quantum systems. Zbl 0821.35036 Hunziker, W.; Sigal, I. M. 5 1995 Lectures on large Coulomb systems. Zbl 0830.35111 Sigal, I. M. 2 1995 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091 Sigal, I. M.; Soffer, A. 13 1994 Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106 Sigal, I. M. 45 1993 Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135 Ivrii, V. Ja.; Sigal, I. M. 35 1993 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010 Sigal, I. M.; Soffer, A. 12 1993 Space-time picture of semiclassical resonances. Zbl 0755.35102 Gérard, C.; Sigal, I. M. 16 1992 Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064 Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M. 9 1992 The energy asymptotics of large Coulomb systems. Zbl 0834.47066 Fefferman, C. L.; Ivrii, V. Ja.; Seco, L. A.; Sigal, I. M. 1 1992 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197 Sigal, I. M.; Soffer, A. 31 1990 Bound on the ionization energy of large atoms. Zbl 0714.35059 Seco, L. A.; Sigal, I. M.; Solovej, J. P. 16 1990 On long-range scattering. Zbl 0725.35071 Sigal, I. M. 16 1990 Stark effect in multielectron systems: Non-existence of bound states. Zbl 0684.35079 Sigal, I. M. 11 1989 Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115 Hislop, P. D.; Sigal, I. M. 11 1989 Sharp exponential bounds on resonances states and width of resonances. Zbl 0652.47008 Sigal, I. M. 22 1988 Geometric theory of Stark resonances in multielectron systems. Zbl 0672.58050 Sigal, I. M. 11 1988 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,148 Authors 78 Sigal, Israel Michael 44 Fröhlich, Jürg Martin 27 Merkli, Marco 26 Gérard, Christian 26 Soffer, Avraham 25 Faupin, Jérémy 24 Bach, Volker 24 Hiroshima, Fumio 21 Cuccagna, Scipio 19 Herbst, Ira W. 17 Chen, Thomas 16 Dereziński, Jan 16 Hasler, David G. 16 Møller, Jacob Schach 16 Skibsted, Erik 15 Pizzo, Alessandro 15 Solovej, Jan Philip 13 Gang, Zhou 13 Pillet, Claude-Alain 13 Vasy, András 12 Dybalski, Wojciech 12 Griesemer, Marcel 12 Komech, Alexander Ilich 12 Simon, Barry 12 Tamura, Hideo 12 Vougalter, Vitali 11 Adachi, Tadayoshi 11 Barbaroux, Jean-Marie 11 De Roeck, Wojciech 11 Guillot, Jean-Claude 11 Jakšić, Vojkan 10 Amour, Laurent 10 Ballesteros, Miguel 10 Könenberg, Martin 10 Maeda, Masaya 10 Spohn, Herbert 10 Vugal’ter, Semën Abramovich 9 Arai, Asao 9 Bruneau, Laurent 9 Fournais, Søren 9 Hainzl, Christian 9 Joye, Alain 9 Noja, Diego 9 Wei, Juncheng 8 Briet, Philippe 8 Eastham, Michael S. P. 8 Georgescu, Vladimir 8 Hirokawa, Masao 8 Kopylova, Elena A. 8 Lewin, Mathieu 8 Matte, Oliver 8 Nakamura, Shu 7 Berman, Gennady P. 7 Bony, Jean-François 7 Froese, Richard 7 Jensen, Arne 7 Miyao, Tadahiro 7 Schlag, Wilhelm 7 Stockmeyer, Edgardo 6 Adami, Riccardo 6 Bambusi, Dario 6 Brown, B. Malcolm 6 Chenn, Ilias 6 Combes, Jean-Michel 6 Dimassi, Mouez 6 Frank, Rupert L. 6 Golénia, Sylvain 6 Gustafson, Stephen J. 6 Häfner, Dietrich 6 Martinez, André 6 Melgaard, Michael 6 Panati, Annalisa 6 Pelinovsky, Dmitry Efimovich 6 Perry, Peter A. 6 Pusateri, Fabio 6 Seiringer, Robert 6 Wang, Xueping 5 Ammari, Zied 5 Ben-Artzi, Matania 5 Boutet de Monvel, Anne Marie 5 Deckert, Dirk-André 5 Erdős, László 5 Falconi, Marco 5 Fujiié, Setsuro 5 Graf, Gian Michele 5 Hagedorn, George A. 5 Ito, Hiroshi T. 5 Kowalczyk, Michał 5 Krieger, Joachim 5 Kupiainen, Antti 5 Lörinczi, József 5 Nannen, Lothar 5 Nier, Francis 5 Nourrigat, Jean Francois 5 Phan Thành Nam 5 Raphael, Pierre 5 Robert, Didier 5 Rougerie, Nicolas 5 Schubnel, Baptiste 5 Squassina, Marco ...and 1,048 more Authors all top 5 Cited in 222 Serials 158 Communications in Mathematical Physics 109 Journal of Mathematical Physics 86 Journal of Functional Analysis 65 Reviews in Mathematical Physics 56 Annales Henri Poincaré 37 Letters in Mathematical Physics 36 Journal of Mathematical Analysis and Applications 31 Journal of Statistical Physics 29 Advances in Mathematics 29 Annales de l’Institut Henri Poincaré. Physique Théorique 26 Communications in Partial Differential Equations 25 Journal of Differential Equations 19 Archive for Rational Mechanics and Analysis 19 Duke Mathematical Journal 17 Transactions of the American Mathematical Society 14 Discrete and Continuous Dynamical Systems 13 Communications on Pure and Applied Mathematics 10 Nonlinearity 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 SIAM Journal on Mathematical Analysis 9 Physica D 9 Mathematical Physics, Analysis and Geometry 9 Journal of Spectral Theory 8 Bulletin of the American Mathematical Society. New Series 7 Journal d’Analyse Mathématique 7 Annales de l’Institut Fourier 7 Inventiones Mathematicae 7 Mathematische Zeitschrift 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Journal of Nonlinear Science 6 Journal of Computational Physics 6 Reports on Mathematical Physics 6 Journal of Computational and Applied Mathematics 6 Numerische Mathematik 6 Proceedings of the American Mathematical Society 6 The Journal of Geometric Analysis 6 Calculus of Variations and Partial Differential Equations 6 Advances in Mathematical Physics 5 Mathematische Annalen 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Annals of Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Evolution Equations 5 Journal of Physics A: Mathematical and Theoretical 5 Journal of Pseudo-Differential Operators and Applications 4 Applicable Analysis 4 Mathematics of Computation 4 Journal of the Mathematical Society of Japan 4 Quarterly of Applied Mathematics 4 Studies in Applied Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Mathematical Sciences (New York) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Fluid Mechanics 3 Physics Letters. A 3 Wave Motion 3 Integral Equations and Operator Theory 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Annals of Global Analysis and Geometry 3 Journal of the American Mathematical Society 3 European Journal of Applied Mathematics 3 SIAM Journal on Scientific Computing 3 St. Petersburg Mathematical Journal 3 Journal of Mathematical Chemistry 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Discrete and Continuous Dynamical Systems. Series B 3 Quantum Information Processing 3 Journal of Hyperbolic Differential Equations 3 Complex Analysis and Operator Theory 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 3 Annals of PDE 3 Séminaire Laurent Schwartz. EDP et Applications 3 Pure and Applied Analysis 2 Classical and Quantum Gravity 2 Physica A 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 BIT 2 Publications Mathématiques 2 Journal of Soviet Mathematics 2 Mathematika 2 Nagoya Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 SIAM Journal on Numerical Analysis 2 Advances in Applied Mathematics 2 Systems & Control Letters 2 Acta Applicandae Mathematicae 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 Sugaku Expositions 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Dynamics and Differential Equations 2 Annales Mathématiques Blaise Pascal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Documenta Mathematica 2 Abstract and Applied Analysis ...and 122 more Serials all top 5 Cited in 51 Fields 744 Quantum theory (81-XX) 717 Partial differential equations (35-XX) 314 Operator theory (47-XX) 190 Statistical mechanics, structure of matter (82-XX) 75 Dynamical systems and ergodic theory (37-XX) 70 Functional analysis (46-XX) 58 Ordinary differential equations (34-XX) 54 Global analysis, analysis on manifolds (58-XX) 45 Numerical analysis (65-XX) 40 Optics, electromagnetic theory (78-XX) 35 Differential geometry (53-XX) 35 Probability theory and stochastic processes (60-XX) 32 Mechanics of particles and systems (70-XX) 28 Fluid mechanics (76-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Relativity and gravitational theory (83-XX) 13 Biology and other natural sciences (92-XX) 10 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Systems theory; control (93-XX) 7 Measure and integration (28-XX) 7 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Mechanics of deformable solids (74-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Approximations and expansions (41-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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