Edit Profile (opens in new tab) Sigal, Israel Michael Compute Distance To: Compute Author ID: sigal.israel-michael Published as: Sigal, I. M.; Sigal, Israel Michael; Sigal, Israel M. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 133 Publications since 1976, including 8 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 59 Co-Authors with 101 Joint Publications 1,127 Co-Co-Authors all top 5 Co-Authors 31 single-authored 21 Fröhlich, Jürg Martin 13 Bach, Volker 10 Ovchinnikov, Yuriĭ Nikolaevich 10 Soffer, Avraham 9 Merkli, Marco 8 Gustafson, Stephen J. 7 Gang, Zhou 6 Faupin, Jérémy 6 Tzaneteas, Tim 5 Chenn, Ilias 4 Berman, Gennady P. 4 Chen, Thomas M. 4 Dejak, Steven I. 4 Hislop, Peter D. 3 Griesemer, Marcel 3 Jonsson, B. Lars G. 3 Simon, Barry 2 Anapolitanos, Ioannis 2 Egli, Daniel 2 Ivrii, Victor Ja. 2 Lushnikov, Pavel Mikhaĭlovich 2 Mück, Matthias 2 Perry, Peter A. 2 Pusateri, Fabio 2 Pyke, Randall M. 2 Seco, Luis Angel 1 Abou-Salem, Walid K. 1 Antonopoulou, Dimitra C. 1 Arbunich, Jack 1 Ballesteros, Miguel 1 Bizoń, Piotr 1 Bony, Jean-François 1 Breteaux, Sébastien 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 Dusson, Geneviève 1 Enss, Volker 1 Ercolani, Nicholas M. 1 Fefferman, Charles Louis 1 Fournodavlos, Grigorios 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 Ramm, Alexander G. 1 Rayan, Steven 1 Reinhardt, William P. 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 Stamm, Benjamin 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 Zielinski, Lech all top 5 Serials 17 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 4 Letters in Mathematical Physics 4 Duke Mathematical Journal 4 Journal of Functional Analysis 4 Annales Henri Poincaré 3 Memoirs of the American Mathematical Society 3 Advances in Applied Mathematics 3 Annals of Mathematics. Second Series 3 Universitext 2 Communications on Pure and Applied Mathematics 2 Physica D 2 Annals of Physics 2 Communications in Partial Differential Equations 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 Integral Equations and Operator Theory 1 Inventiones Mathematicae 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 91 Partial differential equations (35-XX) 89 Quantum theory (81-XX) 41 Operator theory (47-XX) 31 Statistical mechanics, structure of matter (82-XX) 8 Functional analysis (46-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 2,036 times in 1,103 Documents Cited by ▼ Year ▼ Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002Hislop, P. D.; Sigal, I. M. 188 1996 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 141 1998 Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069Perry, P.; Sigal, I. M.; Simon, B. 131 1981 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 106 1999 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009Sigal, I. M.; Soffer, A. 91 1987 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 77 1998 Solitary wave dynamics in an external potential. Zbl 1075.35075Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 52 2004 The quantum \(N\)-body problem. Zbl 0981.81026Hunziker, W.; Sigal, I. M. 49 2000 Return to equilibrium. Zbl 1037.82029Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 45 2000 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 41 2003 Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. Zbl 0503.47041Sigal, I. M. 41 1982 Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106Sigal, I. M. 39 1993 Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065Gang, Zhou; Sigal, I. M. 37 2007 Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002Gustafson, Stephen J.; Sigal, Israel Michael 36 2011 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 34 2007 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 Minimal escape velocities. Zbl 0944.35014Hunziker, W.; Sigal, I. M.; Soffer, A. 32 1999 Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135Ivrii, V. Ja.; Sigal, I. M. 30 1993 Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197Sigal, I. M.; Soffer, A. 30 1990 Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044Fröhlich, J.; Griesemer, M.; Sigal, I. M. 29 2008 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048Bach, V.; Fröhlich, J.; Sigal, I. M. 27 1995 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 24 2006 Effective dynamics of magnetic vortices. Zbl 1081.35102Gustafson, S.; Sigal, I. M. 24 2006 Asymptotic stability of nonlinear Schrödinger equations with potential. Zbl 1086.82013Gang, Zhou; Sigal, I. M. 22 2005 Resonance theory of decoherence and thermalization. Zbl 1201.81083Merkli, M.; Sigal, I. M.; Berman, G. P. 21 2008 Sharp exponential bounds on resonances states and width of resonances. Zbl 0652.47008Sigal, I. M. 20 1988 The stability of magnetic vortices. Zbl 0955.58015Gustafson, S.; Sigal, I. M. 20 2000 A time-dependent theory of quantum resonances. Zbl 0934.47007Merkli, M.; Sigal, I. M. 19 1999 Complex transformation method and resonances in one-body quantum systems. Zbl 0568.47008Sigal, I. M. 16 1984 Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008Hunziker, W.; Sigal, I. M. 16 2000 Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033Gustafson, S.; Sigal, I. M.; Tzaneteas, T. 16 2010 Ground state and resonances in the standard model of the non-relativistic QED. Zbl 1166.82302Sigal, Israel Michael 16 2009 Bound on the ionization energy of large atoms. Zbl 0714.35059Seco, L. A.; Sigal, I. M.; Solovej, J. P. 15 1990 On long-range scattering. Zbl 0725.35071Sigal, I. M. 15 1990 Mathematical concepts of quantum mechanics. Zbl 1033.81004Gustafson, Stephen J.; Sigal, Israel Michael 15 2003 Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043Merkli, M.; Mück, M.; Sigal, I. M. 15 2007 Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023Merkli, Marco; Mück, Matthias; Sigal, Israel Michael 15 2007 Global Fourier integral operators and semiclassical asymptotics. Zbl 0962.35201Laptev, A.; Sigal, I. M. 14 2000 On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105Faupin, Jérémy; Sigal, Israel Michael 14 2014 Collapse of an instanton. Zbl 1059.35081Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M. 13 2004 On spectral renormalization group. Zbl 1180.81102Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 13 2009 Decoherence and thermalization. Zbl 1228.82060Merkli, M.; Sigal, I. M.; Berman, G. P. 12 2007 Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116Ovchinnikov, Yu. N.; Sigal, I. M. 12 1998 Space-time picture of semiclassical resonances. Zbl 0755.35102Gérard, C.; Sigal, I. M. 12 1992 Local decay in non-relativistic QED. Zbl 1237.81125Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. 12 2012 Scattering theory for many-body quantum mechanical systems -rigorous results. Zbl 0522.47006Sigal, Israel Michael 11 1983 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091Sigal, I. M.; Soffer, A. 11 1994 Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael 11 2012 Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115Hislop, P. D.; Sigal, I. M. 11 1989 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010Sigal, I. M.; Soffer, A. 10 1993 On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084Gang, Zhou; Sigal, I. M. 10 2006 Neck pinching dynamics under mean curvature flow. Zbl 1179.53065Gang, Zhou; Sigal, Israel Michael 10 2009 Stark effect in multielectron systems: Non-existence of bound states. Zbl 0684.35079Sigal, I. M. 10 1989 Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. Zbl 1218.81082Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 10 2011 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 9 2013 Shape resonances in quantum mechanics. Zbl 0653.46074Hislop, P. D.; Sigal, I. M. 9 1987 Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078Ovchinnikov, Yuri N.; Sigal, Israel M. 9 1997 On the theory of resonances in non-relativistic quantum electrodynamics and related models. Zbl 1171.81428Salem, W. K. Abou; Faupin, J.; Fröhlich, J.; Sigal, I. M. 9 2009 Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. 9 2009 Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403Faupin, Jérémy; Sigal, Israel Michael 9 2014 Geometric theory of Stark resonances in multielectron systems. Zbl 0672.58050Sigal, I. M. 9 1988 Ionization of atoms in a thermal field. Zbl 1142.82347Fröhlich, J.; Merkli, M.; Sigal, I. M. 9 2004 Dynamics of collective decoherence and thermalization. Zbl 1164.82005Merkli, M.; Berman, G. P.; Sigal, I. M. 9 2008 Geometric parametrices and the many-body Birman-Schwinger principle. Zbl 0543.47044Sigal, I. M. 8 1983 Mathematical foundations of quantum scattering theory for multiparticle systems. Zbl 0399.47008Sigal, I. M. 8 1978 Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M. 8 1992 On the discrete spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35061Sigal, I. M. 8 1976 Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Zbl 1440.53106Gang, Zhou; Knopf, Dan; Sigal, Israel Michael 7 2018 Analytic properties of the scattering matrix of many particle systems. Zbl 0605.47009Sigal, I. M. 7 1986 The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122Ovchinnikov, Yu. N.; Sigal, I. M. 7 1998 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Long-time dynamics of KdV solitary waves over a variable bottom. Zbl 1145.35096Dejak, Steven I.; Sigal, Israel Michael 6 2006 Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153Tzaneteas, T.; Sigal, I. M. 6 2011 Pinning of magnetic vortices by an external potential. Zbl 1067.58015Sigal, I. M.; Ting, F. 6 2004 On collapse of wave maps. Zbl 1232.35138Ovchinnikov, Yu. N.; Sigal, I. M. 6 2011 The energy of Ginzburg-Landau vortices. Zbl 1209.35041Ovchinnikov, Y. N.; Sigal, I. M. 5 2002 Blow-up in nonlinear heat equations. Zbl 1180.35130Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai 5 2008 Suppression of decoherence by periodic forcing. Zbl 1300.81010Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael 5 2014 The general theory of \(N\)-body quantum systems. Zbl 0821.35036Hunziker, W.; Sigal, I. M. 5 1995 Effective dynamics of a magnetic vortex in a local potential. Zbl 1106.78004Strauss, Y.; Sigal, I. M. 4 2006 Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael 4 2013 Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181Sigal, Israel Michael; Tzaneteas, Tim 4 2012 On quantum mechanics of many-body systems with dilation-analytic potentials. Zbl 0399.47009Sigal, I. M. 4 1978 On long range behaviour of van der Waals force. Zbl 1339.81020Anapolitanos, I.; Sigal, I. M. 4 2015 Long-range behavior of the van der Waals force. Zbl 1376.81087Anapolitanos, Ioannis; Sigal, Israel Michael 4 2017 Asymptotic completeness of many-body short-range systems. Zbl 0559.46036Sigal, I. M. 3 1984 A generalized Weyl theorem and \(L^ p\)-spectra of Schrödinger operators. Zbl 0582.47003Sigal, I. M. 3 1985 Abrikosov vortex lattices at weak magnetic fields. Zbl 1244.35140Sigal, Israel Michael; Tzaneteas, Tim 3 2012 Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Zbl 0970.35140Ovchinnikov, Yu. N.; Sigal, I. M. 3 2000 On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210Tzaneteas, T.; Sigal, I. M. 3 2013 Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132Antonopoulou, D.; Karali, G.; Sigal, I. M. 3 2010 Mathematical theory of single channel systems analyticity of scattering matrix. Zbl 0503.35028Sigal, I. M. 3 1982 On the point spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35062Sigal, I. M. 3 1976 On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael 2 2018 Asymptotic completeness of short-range many-body systems. Zbl 0597.35026Sigal, I. M.; Soffer, A. 2 1986 Addendum to “Complex transformation method and resonances in one-body quantum systems”. Zbl 0599.47018Sigal, I. M. 2 1984 On spectra of linearized operators for Keller-Segel models of chemotaxis. Zbl 1253.92008Dejak, S. I.; Lushnikov, P. M.; Ovchinnikov, Yu. N.; Sigal, I. M. 2 2012 Renormalization group and problem of radiation. Zbl 1292.81137Sigal, Israel Michael 2 2012 Asymptotic completeness of multiparticle scattering. Zbl 0651.35071Sigal, I. M.; Soffer, A. 2 1987 On blowup dynamics in the Keller-Segel model of chemotaxis. Zbl 1326.35049Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. 2 2014 Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112Pusateri, Fabio; Sigal, Israel Michael 1 2021 Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M. 2 2020 On effective PDEs of quantum physics. Zbl 1428.35419Chenn, Ilias; Sigal, I. M. 1 2019 Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Zbl 1440.53106Gang, Zhou; Knopf, Dan; Sigal, Israel Michael 7 2018 On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael 2 2018 On stability of Abrikosov vortex lattices. Zbl 1401.82059Sigal, Israel Michael; Tzaneteas, Tim 2 2018 The effective dynamics of the volume preserving mean curvature flow. Zbl 1396.82014Chenn, Ilias; Fournodavlos, G.; Sigal, I. M. 1 2018 Long-range behavior of the van der Waals force. Zbl 1376.81087Anapolitanos, Ioannis; Sigal, Israel Michael 4 2017 On long range behaviour of van der Waals force. Zbl 1339.81020Anapolitanos, I.; Sigal, I. M. 4 2015 On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105Faupin, Jérémy; Sigal, Israel Michael 14 2014 Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403Faupin, Jérémy; Sigal, Israel Michael 9 2014 Suppression of decoherence by periodic forcing. Zbl 1300.81010Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael 5 2014 On blowup dynamics in the Keller-Segel model of chemotaxis. Zbl 1326.35049Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. 2 2014 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 9 2013 Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael 4 2013 On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210Tzaneteas, T.; Sigal, I. M. 3 2013 Local decay in non-relativistic QED. Zbl 1237.81125Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. 12 2012 Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael 11 2012 Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181Sigal, Israel Michael; Tzaneteas, Tim 4 2012 Abrikosov vortex lattices at weak magnetic fields. Zbl 1244.35140Sigal, Israel Michael; Tzaneteas, Tim 3 2012 On spectra of linearized operators for Keller-Segel models of chemotaxis. Zbl 1253.92008Dejak, S. I.; Lushnikov, P. M.; Ovchinnikov, Yu. N.; Sigal, I. M. 2 2012 Renormalization group and problem of radiation. Zbl 1292.81137Sigal, Israel Michael 2 2012 Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002Gustafson, Stephen J.; Sigal, Israel Michael 36 2011 Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. Zbl 1218.81082Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 10 2011 Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153Tzaneteas, T.; Sigal, I. M. 6 2011 On collapse of wave maps. Zbl 1232.35138Ovchinnikov, Yu. N.; Sigal, I. M. 6 2011 Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033Gustafson, S.; Sigal, I. M.; Tzaneteas, T. 16 2010 Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132Antonopoulou, D.; Karali, G.; Sigal, I. M. 3 2010 Ground state and resonances in the standard model of the non-relativistic QED. Zbl 1166.82302Sigal, Israel Michael 16 2009 On spectral renormalization group. Zbl 1180.81102Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 13 2009 Neck pinching dynamics under mean curvature flow. Zbl 1179.53065Gang, Zhou; Sigal, Israel Michael 10 2009 On the theory of resonances in non-relativistic quantum electrodynamics and related models. Zbl 1171.81428Salem, W. K. Abou; Faupin, J.; Fröhlich, J.; Sigal, I. M. 9 2009 Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. 9 2009 Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044Fröhlich, J.; Griesemer, M.; Sigal, I. M. 29 2008 Resonance theory of decoherence and thermalization. Zbl 1201.81083Merkli, M.; Sigal, I. M.; Berman, G. P. 21 2008 Dynamics of collective decoherence and thermalization. Zbl 1164.82005Merkli, M.; Berman, G. P.; Sigal, I. M. 9 2008 Blow-up in nonlinear heat equations. Zbl 1180.35130Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai 5 2008 Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065Gang, Zhou; Sigal, I. M. 37 2007 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 34 2007 Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043Merkli, M.; Mück, M.; Sigal, I. M. 15 2007 Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023Merkli, Marco; Mück, Matthias; Sigal, Israel Michael 15 2007 Decoherence and thermalization. Zbl 1228.82060Merkli, M.; Sigal, I. M.; Berman, G. P. 12 2007 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 24 2006 Effective dynamics of magnetic vortices. Zbl 1081.35102Gustafson, S.; Sigal, I. M. 24 2006 On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084Gang, Zhou; Sigal, I. M. 10 2006 Long-time dynamics of KdV solitary waves over a variable bottom. Zbl 1145.35096Dejak, Steven I.; Sigal, Israel Michael 6 2006 Effective dynamics of a magnetic vortex in a local potential. Zbl 1106.78004Strauss, Y.; Sigal, I. M. 4 2006 Asymptotic stability of nonlinear Schrödinger equations with potential. Zbl 1086.82013Gang, Zhou; Sigal, I. M. 22 2005 Solitary wave dynamics in an external potential. Zbl 1075.35075Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 52 2004 Collapse of an instanton. Zbl 1059.35081Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M. 13 2004 Ionization of atoms in a thermal field. Zbl 1142.82347Fröhlich, J.; Merkli, M.; Sigal, I. M. 9 2004 Pinning of magnetic vortices by an external potential. Zbl 1067.58015Sigal, I. M.; Ting, F. 6 2004 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 41 2003 Mathematical concepts of quantum mechanics. Zbl 1033.81004Gustafson, Stephen J.; Sigal, Israel Michael 15 2003 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 The energy of Ginzburg-Landau vortices. Zbl 1209.35041Ovchinnikov, Y. N.; Sigal, I. M. 5 2002 The quantum \(N\)-body problem. Zbl 0981.81026Hunziker, W.; Sigal, I. M. 49 2000 Return to equilibrium. Zbl 1037.82029Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 45 2000 The stability of magnetic vortices. Zbl 0955.58015Gustafson, S.; Sigal, I. M. 20 2000 Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008Hunziker, W.; Sigal, I. M. 16 2000 Global Fourier integral operators and semiclassical asymptotics. Zbl 0962.35201Laptev, A.; Sigal, I. M. 14 2000 Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Zbl 0970.35140Ovchinnikov, Yu. N.; Sigal, I. M. 3 2000 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 106 1999 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 Minimal escape velocities. Zbl 0944.35014Hunziker, W.; Sigal, I. M.; Soffer, A. 32 1999 A time-dependent theory of quantum resonances. Zbl 0934.47007Merkli, M.; Sigal, I. M. 19 1999 QED of confined nonrelativistic particles – new results. Zbl 1253.81133Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 1 1999 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 141 1998 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 77 1998 Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116Ovchinnikov, Yu. N.; Sigal, I. M. 12 1998 The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122Ovchinnikov, Yu. N.; Sigal, I. M. 7 1998 Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078Ovchinnikov, Yuri N.; Sigal, Israel M. 9 1997 Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002Hislop, P. D.; Sigal, I. M. 188 1996 Asymptotic completeness. Zbl 0857.35106Sigal, I. M. 1 1996 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048Bach, V.; Fröhlich, J.; Sigal, I. M. 27 1995 The general theory of \(N\)-body quantum systems. Zbl 0821.35036Hunziker, W.; Sigal, I. M. 5 1995 Lectures on large Coulomb systems. Zbl 0830.35111Sigal, I. M. 1 1995 Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091Sigal, I. M.; Soffer, A. 11 1994 Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106Sigal, I. M. 39 1993 Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135Ivrii, V. Ja.; Sigal, I. M. 30 1993 Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010Sigal, I. M.; Soffer, A. 10 1993 Space-time picture of semiclassical resonances. Zbl 0755.35102Gérard, C.; Sigal, I. M. 12 1992 Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M. 8 1992 The energy asymptotics of large Coulomb systems. Zbl 0834.47066Fefferman, 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 0702.35197Sigal, I. M.; Soffer, A. 30 1990 Bound on the ionization energy of large atoms. Zbl 0714.35059Seco, L. A.; Sigal, I. M.; Solovej, J. P. 15 1990 On long-range scattering. Zbl 0725.35071Sigal, I. M. 15 1990 Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115Hislop, P. D.; Sigal, I. M. 11 1989 Stark effect in multielectron systems: Non-existence of bound states. Zbl 0684.35079Sigal, I. M. 10 1989 Sharp exponential bounds on resonances states and width of resonances. Zbl 0652.47008Sigal, I. M. 20 1988 Geometric theory of Stark resonances in multielectron systems. Zbl 0672.58050Sigal, I. M. 9 1988 Life-time of Stark resonances. Zbl 0663.35050Sigal, I. M. 1 1988 The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009Sigal, I. M.; Soffer, A. 91 1987 Shape resonances in quantum mechanics. Zbl 0653.46074Hislop, P. D.; Sigal, I. M. 9 1987 Asymptotic completeness of multiparticle scattering. Zbl 0651.35071Sigal, I. M.; Soffer, A. 2 1987 Mathematical questions of quantum many-body theory. Zbl 0656.35133Sigal, I. M. 1 1987 Analytic properties of the scattering matrix of many particle systems. Zbl 0605.47009Sigal, I. M. 7 1986 Asymptotic completeness of short-range many-body systems. Zbl 0597.35026Sigal, I. M.; Soffer, A. 2 1986 A generalized Weyl theorem and \(L^ p\)-spectra of Schrödinger operators. Zbl 0582.47003Sigal, I. M. 3 1985 Complex transformation method and resonances in one-body quantum systems. Zbl 0568.47008Sigal, I. M. 16 1984 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 941 Authors 73 Sigal, Israel Michael 44 Fröhlich, Jürg Martin 26 Gérard, Christian 25 Soffer, Avraham 24 Hiroshima, Fumio 24 Merkli, Marco 23 Bach, Volker 22 Faupin, Jérémy 19 Cuccagna, Scipio 19 Herbst, Ira W. 16 Chen, Thomas M. 16 Dereziński, Jan 16 Møller, Jacob Schach 16 Skibsted, Erik 14 Pizzo, Alessandro 14 Solovej, Jan Philip 13 Vasy, András 12 Gang, Zhou 12 Griesemer, Marcel 12 Hasler, David G. 12 Komech, Alexander Ilich 12 Tamura, Hideo 11 Adachi, Tadayoshi 11 De Roeck, Wojciech 11 Guillot, Jean-Claude 11 Pillet, Claude-Alain 11 Simon, Barry 10 Ballesteros, Miguel 10 Barbaroux, Jean-Marie 10 Dybalski, Wojciech 10 Könenberg, Martin 10 Spohn, Herbert 9 Amour, Laurent 9 Arai, Asao 9 Fournais, Søren 9 Jakšić, Vojkan 9 Joye, Alain 9 Noja, Diego 9 Vougalter, Vitali 9 Vugal’ter, Semën Abramovich 8 Briet, Philippe 8 Bruneau, Laurent 8 Eastham, Michael S. P. 8 Georgescu, Vladimir 8 Hirokawa, Masao 8 Kopylova, Elena A. 8 Lewin, Mathieu 8 Matte, Oliver 8 Nakamura, Shu 8 Wei, Juncheng 7 Froese, Richard 7 Hainzl, Christian 7 Jensen, Arne 7 Maeda, Masaya 7 Miyao, Tadahiro 6 Adami, Riccardo 6 Bambusi, Dario 6 Berman, Gennady P. 6 Bony, Jean-François 6 Brown, B. Malcolm 6 Combes, Jean-Michel 6 Golénia, Sylvain 6 Gustafson, Stephen J. 6 Martinez, André 6 Melgaard, Michael 6 Perry, Peter A. 6 Schlag, Wilhelm 6 Stockmeyer, Edgardo 6 Wang, Xueping 6 Zielinski, Lech 5 Boutet de Monvel, Anne Marie 5 Deckert, Dirk-André 5 Erdős, László 5 Frank, Rupert L. 5 Häfner, Dietrich 5 Hagedorn, George A. 5 Ito, Hiroshi T. 5 Krieger, Joachim 5 Kupiainen, Antti 5 Lörinczi, József 5 Nannen, Lothar 5 Nier, Francis 5 Panati, Annalisa 5 Pelinovsky, Dmitry Efimovich 5 Phan Thành Nam 5 Raphael, Pierre 5 Robert, Didier 5 Schubnel, Baptiste 5 Seiringer, Robert 5 Squassina, Marco 5 Takaesu, Toshimitsu 5 Yafaev, Dimitri R. 4 Ammari, Zied 4 Bao, Weizhu 4 Boussaid, Nabile 4 Cacciapuoti, Claudio 4 Chenn, Ilias 4 Cornean, Horia D. 4 Dejak, Steven I. 4 Deng, Qingquan ...and 841 more Authors all top 5 Cited in 191 Serials 151 Communications in Mathematical Physics 98 Journal of Mathematical Physics 78 Journal of Functional Analysis 62 Reviews in Mathematical Physics 48 Annales Henri Poincaré 36 Journal of Mathematical Analysis and Applications 34 Letters in Mathematical Physics 30 Journal of Statistical Physics 29 Annales de l’Institut Henri Poincaré. 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EDP et Applications 3 Journal of Fluid Mechanics 3 Mathematics of Computation 3 Integral Equations and Operator Theory 3 Manuscripta Mathematica 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Studies in Applied Mathematics 3 Journal of the American Mathematical Society 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 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Quantum Information Processing 3 Journal of Hyperbolic Differential Equations 3 Bulletin of Mathematical Sciences 2 Journal of Computational Physics 2 Physics Letters. A 2 Wave Motion 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 Memoirs of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Advances in Applied Mathematics 2 Acta Applicandae Mathematicae 2 Sugaku Expositions 2 European Journal of Applied Mathematics 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 Annales Mathématiques Blaise Pascal 2 NoDEA. Nonlinear Differential Equations and Applications 2 Abstract and Applied Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Central European Journal of Mathematics 2 Foundations of Physics 2 Bulletin of the American Mathematical Society 2 Communications in Mathematical Analysis 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Kyoto Journal of Mathematics 1 International Journal of Modern Physics A 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Engineering Mathematics ...and 91 more Serials all top 5 Cited in 49 Fields 673 Quantum theory (81-XX) 602 Partial differential equations (35-XX) 285 Operator theory (47-XX) 155 Statistical mechanics, structure of matter (82-XX) 64 Dynamical systems and ergodic theory (37-XX) 61 Functional analysis (46-XX) 49 Ordinary differential equations (34-XX) 46 Global analysis, analysis on manifolds (58-XX) 36 Numerical analysis (65-XX) 31 Optics, electromagnetic theory (78-XX) 30 Probability theory and stochastic processes (60-XX) 29 Mechanics of particles and systems (70-XX) 23 Differential geometry (53-XX) 23 Fluid mechanics (76-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 17 Relativity and gravitational theory (83-XX) 10 Biology and other natural sciences (92-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Functions of a complex variable (30-XX) 7 Systems theory; control (93-XX) 6 Measure and integration (28-XX) 6 Integral equations (45-XX) 6 Statistics (62-XX) 5 Difference and functional equations (39-XX) 5 Computer science (68-XX) 4 Combinatorics (05-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Approximations and expansions (41-XX) 4 Mechanics of deformable solids (74-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-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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