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Sigal, Israel Michael

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Author ID: sigal.israel-michael Recent zbMATH articles by "Sigal, Israel Michael"
Published as: Sigal, I. M.; Sigal, Israel Michael; Sigal, Israel M.
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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
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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

Publications by Year

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 0855.47002
Hislop, P. D.; Sigal, I. M.
188
1996
Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
141
1998
Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069
Perry, P.; Sigal, I. M.; Simon, B.
131
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
106
1999
The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009
Sigal, I. M.; Soffer, A.
91
1987
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
77
1998
Solitary wave dynamics in an external potential. Zbl 1075.35075
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M.
52
2004
The quantum \(N\)-body problem. Zbl 0981.81026
Hunziker, W.; Sigal, I. M.
49
2000
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
45
2000
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
41
2003
Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. Zbl 0503.47041
Sigal, I. M.
41
1982
Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106
Sigal, I. M.
39
1993
Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065
Gang, Zhou; Sigal, I. M.
37
2007
Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002
Gustafson, Stephen J.; Sigal, Israel Michael
36
2011
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
34
2007
Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy
34
1999
Minimal escape velocities. Zbl 0944.35014
Hunziker, W.; Sigal, I. M.; Soffer, A.
32
1999
Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135
Ivrii, V. Ja.; Sigal, I. M.
30
1993
Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Zbl 0702.35197
Sigal, I. M.; Soffer, A.
30
1990
Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044
Fröhlich, J.; Griesemer, M.; Sigal, I. M.
29
2008
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
24
2006
Effective dynamics of magnetic vortices. Zbl 1081.35102
Gustafson, S.; Sigal, I. M.
24
2006
Asymptotic stability of nonlinear Schrödinger equations with potential. Zbl 1086.82013
Gang, Zhou; Sigal, I. M.
22
2005
Resonance theory of decoherence and thermalization. Zbl 1201.81083
Merkli, M.; Sigal, I. M.; Berman, G. P.
21
2008
Sharp exponential bounds on resonances states and width of resonances. Zbl 0652.47008
Sigal, I. M.
20
1988
The stability of magnetic vortices. Zbl 0955.58015
Gustafson, S.; Sigal, I. M.
20
2000
A time-dependent theory of quantum resonances. Zbl 0934.47007
Merkli, M.; Sigal, I. M.
19
1999
Complex transformation method and resonances in one-body quantum systems. Zbl 0568.47008
Sigal, I. M.
16
1984
Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008
Hunziker, W.; Sigal, I. M.
16
2000
Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033
Gustafson, S.; Sigal, I. M.; Tzaneteas, T.
16
2010
Ground state and resonances in the standard model of the non-relativistic QED. Zbl 1166.82302
Sigal, Israel Michael
16
2009
Bound on the ionization energy of large atoms. Zbl 0714.35059
Seco, L. A.; Sigal, I. M.; Solovej, J. P.
15
1990
On long-range scattering. Zbl 0725.35071
Sigal, I. M.
15
1990
Mathematical concepts of quantum mechanics. Zbl 1033.81004
Gustafson, Stephen J.; Sigal, Israel Michael
15
2003
Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043
Merkli, M.; Mück, M.; Sigal, I. M.
15
2007
Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023
Merkli, Marco; Mück, Matthias; Sigal, Israel Michael
15
2007
Global Fourier integral operators and semiclassical asymptotics. Zbl 0962.35201
Laptev, A.; Sigal, I. M.
14
2000
On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105
Faupin, Jérémy; Sigal, Israel Michael
14
2014
Collapse of an instanton. Zbl 1059.35081
Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M.
13
2004
On spectral renormalization group. Zbl 1180.81102
Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael
13
2009
Decoherence and thermalization. Zbl 1228.82060
Merkli, M.; Sigal, I. M.; Berman, G. P.
12
2007
Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116
Ovchinnikov, Yu. N.; Sigal, I. M.
12
1998
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
12
1992
Local decay in non-relativistic QED. Zbl 1237.81125
Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M.
12
2012
Scattering theory for many-body quantum mechanical systems -rigorous results. Zbl 0522.47006
Sigal, Israel Michael
11
1983
Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091
Sigal, I. M.; Soffer, A.
11
1994
Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113
Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael
11
2012
Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115
Hislop, P. D.; Sigal, I. M.
11
1989
Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010
Sigal, I. M.; Soffer, A.
10
1993
On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084
Gang, Zhou; Sigal, I. M.
10
2006
Neck pinching dynamics under mean curvature flow. Zbl 1179.53065
Gang, Zhou; Sigal, Israel Michael
10
2009
Stark effect in multielectron systems: Non-existence of bound states. Zbl 0684.35079
Sigal, I. M.
10
1989
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
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
9
2013
Shape resonances in quantum mechanics. Zbl 0653.46074
Hislop, P. D.; Sigal, I. M.
9
1987
Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078
Ovchinnikov, Yuri N.; Sigal, Israel M.
9
1997
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.
9
2009
Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289
Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M.
9
2009
Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403
Faupin, Jérémy; Sigal, Israel Michael
9
2014
Geometric theory of Stark resonances in multielectron systems. Zbl 0672.58050
Sigal, I. M.
9
1988
Ionization of atoms in a thermal field. Zbl 1142.82347
Fröhlich, J.; Merkli, M.; Sigal, I. M.
9
2004
Dynamics of collective decoherence and thermalization. Zbl 1164.82005
Merkli, M.; Berman, G. P.; Sigal, I. M.
9
2008
Geometric parametrices and the many-body Birman-Schwinger principle. Zbl 0543.47044
Sigal, I. M.
8
1983
Mathematical foundations of quantum scattering theory for multiparticle systems. Zbl 0399.47008
Sigal, I. M.
8
1978
Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064
Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M.
8
1992
On the discrete spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35061
Sigal, I. M.
8
1976
Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Zbl 1440.53106
Gang, Zhou; Knopf, Dan; Sigal, Israel Michael
7
2018
Analytic properties of the scattering matrix of many particle systems. Zbl 0605.47009
Sigal, I. M.
7
1986
The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122
Ovchinnikov, Yu. N.; Sigal, I. M.
7
1998
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-time dynamics of KdV solitary waves over a variable bottom. Zbl 1145.35096
Dejak, Steven I.; Sigal, Israel Michael
6
2006
Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153
Tzaneteas, T.; Sigal, I. M.
6
2011
Pinning of magnetic vortices by an external potential. Zbl 1067.58015
Sigal, I. M.; Ting, F.
6
2004
On collapse of wave maps. Zbl 1232.35138
Ovchinnikov, Yu. N.; Sigal, I. M.
6
2011
The energy of Ginzburg-Landau vortices. Zbl 1209.35041
Ovchinnikov, Y. N.; Sigal, I. M.
5
2002
Blow-up in nonlinear heat equations. Zbl 1180.35130
Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai
5
2008
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
5
2014
The general theory of \(N\)-body quantum systems. Zbl 0821.35036
Hunziker, W.; Sigal, I. M.
5
1995
Effective dynamics of a magnetic vortex in a local potential. Zbl 1106.78004
Strauss, Y.; Sigal, I. M.
4
2006
Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael
4
2013
Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181
Sigal, Israel Michael; Tzaneteas, Tim
4
2012
On quantum mechanics of many-body systems with dilation-analytic potentials. Zbl 0399.47009
Sigal, I. M.
4
1978
On long range behaviour of van der Waals force. Zbl 1339.81020
Anapolitanos, I.; Sigal, I. M.
4
2015
Long-range behavior of the van der Waals force. Zbl 1376.81087
Anapolitanos, Ioannis; Sigal, Israel Michael
4
2017
Asymptotic completeness of many-body short-range systems. Zbl 0559.46036
Sigal, I. M.
3
1984
A generalized Weyl theorem and \(L^ p\)-spectra of Schrödinger operators. Zbl 0582.47003
Sigal, I. M.
3
1985
Abrikosov vortex lattices at weak magnetic fields. Zbl 1244.35140
Sigal, Israel Michael; Tzaneteas, Tim
3
2012
Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Zbl 0970.35140
Ovchinnikov, Yu. N.; Sigal, I. M.
3
2000
On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210
Tzaneteas, T.; Sigal, I. M.
3
2013
Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132
Antonopoulou, D.; Karali, G.; Sigal, I. M.
3
2010
Mathematical theory of single channel systems analyticity of scattering matrix. Zbl 0503.35028
Sigal, I. M.
3
1982
On the point spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35062
Sigal, I. M.
3
1976
On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293
Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael
2
2018
Asymptotic completeness of short-range many-body systems. Zbl 0597.35026
Sigal, I. M.; Soffer, A.
2
1986
Addendum to “Complex transformation method and resonances in one-body quantum systems”. Zbl 0599.47018
Sigal, I. M.
2
1984
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.
2
2012
Renormalization group and problem of radiation. Zbl 1292.81137
Sigal, Israel Michael
2
2012
Asymptotic completeness of multiparticle scattering. Zbl 0651.35071
Sigal, I. M.; Soffer, A.
2
1987
On blowup dynamics in the Keller-Segel model of chemotaxis. Zbl 1326.35049
Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M.
2
2014
Long-time behaviour of time-dependent density functional theory. Zbl 1467.82112
Pusateri, Fabio; Sigal, Israel Michael
1
2021
Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109
Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M.
2
2020
On effective PDEs of quantum physics. Zbl 1428.35419
Chenn, Ilias; Sigal, I. M.
1
2019
Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Zbl 1440.53106
Gang, Zhou; Knopf, Dan; Sigal, Israel Michael
7
2018
On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293
Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael
2
2018
On stability of Abrikosov vortex lattices. Zbl 1401.82059
Sigal, Israel Michael; Tzaneteas, Tim
2
2018
The effective dynamics of the volume preserving mean curvature flow. Zbl 1396.82014
Chenn, Ilias; Fournodavlos, G.; Sigal, I. M.
1
2018
Long-range behavior of the van der Waals force. Zbl 1376.81087
Anapolitanos, Ioannis; Sigal, Israel Michael
4
2017
On long range behaviour of van der Waals force. Zbl 1339.81020
Anapolitanos, I.; Sigal, I. M.
4
2015
On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105
Faupin, Jérémy; Sigal, Israel Michael
14
2014
Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403
Faupin, Jérémy; Sigal, Israel Michael
9
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.
2
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
9
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
4
2013
On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210
Tzaneteas, T.; Sigal, I. M.
3
2013
Local decay in non-relativistic QED. Zbl 1237.81125
Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M.
12
2012
Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113
Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael
11
2012
Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181
Sigal, Israel Michael; Tzaneteas, Tim
4
2012
Abrikosov vortex lattices at weak magnetic fields. Zbl 1244.35140
Sigal, Israel Michael; Tzaneteas, Tim
3
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.
2
2012
Renormalization group and problem of radiation. Zbl 1292.81137
Sigal, Israel Michael
2
2012
Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002
Gustafson, Stephen J.; Sigal, Israel Michael
36
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.
6
2011
On collapse of wave maps. Zbl 1232.35138
Ovchinnikov, Yu. N.; Sigal, I. M.
6
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.
3
2010
Ground state and resonances in the standard model of the non-relativistic QED. Zbl 1166.82302
Sigal, Israel Michael
16
2009
On spectral renormalization group. Zbl 1180.81102
Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael
13
2009
Neck pinching dynamics under mean curvature flow. Zbl 1179.53065
Gang, Zhou; Sigal, Israel Michael
10
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.
9
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.
29
2008
Resonance theory of decoherence and thermalization. Zbl 1201.81083
Merkli, M.; Sigal, I. M.; Berman, G. P.
21
2008
Dynamics of collective decoherence and thermalization. Zbl 1164.82005
Merkli, M.; Berman, G. P.; Sigal, I. M.
9
2008
Blow-up in nonlinear heat equations. Zbl 1180.35130
Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai
5
2008
Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065
Gang, Zhou; Sigal, I. M.
37
2007
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
34
2007
Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043
Merkli, M.; Mück, M.; Sigal, I. M.
15
2007
Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023
Merkli, Marco; Mück, Matthias; Sigal, Israel Michael
15
2007
Decoherence and thermalization. Zbl 1228.82060
Merkli, M.; Sigal, I. M.; Berman, G. P.
12
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
24
2006
Effective dynamics of magnetic vortices. Zbl 1081.35102
Gustafson, S.; Sigal, I. M.
24
2006
On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084
Gang, Zhou; Sigal, I. M.
10
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.
22
2005
Solitary wave dynamics in an external potential. Zbl 1075.35075
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M.
52
2004
Collapse of an instanton. Zbl 1059.35081
Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M.
13
2004
Ionization of atoms in a thermal field. Zbl 1142.82347
Fröhlich, J.; Merkli, M.; Sigal, I. M.
9
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
41
2003
Mathematical concepts of quantum mechanics. Zbl 1033.81004
Gustafson, Stephen J.; Sigal, Israel Michael
15
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.
49
2000
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
45
2000
The stability of magnetic vortices. Zbl 0955.58015
Gustafson, S.; Sigal, I. M.
20
2000
Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008
Hunziker, W.; Sigal, I. M.
16
2000
Global Fourier integral operators and semiclassical asymptotics. Zbl 0962.35201
Laptev, A.; Sigal, I. M.
14
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
106
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
34
1999
Minimal escape velocities. Zbl 0944.35014
Hunziker, W.; Sigal, I. M.; Soffer, A.
32
1999
A time-dependent theory of quantum resonances. Zbl 0934.47007
Merkli, M.; Sigal, I. M.
19
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
141
1998
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
77
1998
Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116
Ovchinnikov, Yu. N.; Sigal, I. M.
12
1998
The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122
Ovchinnikov, Yu. N.; Sigal, I. M.
7
1998
Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078
Ovchinnikov, Yuri N.; Sigal, Israel M.
9
1997
Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002
Hislop, P. D.; Sigal, I. M.
188
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.
1
1995
Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091
Sigal, I. M.; Soffer, A.
11
1994
Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106
Sigal, I. M.
39
1993
Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135
Ivrii, V. Ja.; Sigal, I. M.
30
1993
Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. Zbl 0853.70010
Sigal, I. M.; Soffer, A.
10
1993
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
12
1992
Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064
Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M.
8
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.
30
1990
Bound on the ionization energy of large atoms. Zbl 0714.35059
Seco, L. A.; Sigal, I. M.; Solovej, J. P.
15
1990
On long-range scattering. Zbl 0725.35071
Sigal, I. M.
15
1990
Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115
Hislop, P. D.; Sigal, I. M.
11
1989
Stark effect in multielectron systems: Non-existence of bound states. Zbl 0684.35079
Sigal, I. M.
10
1989
Sharp exponential bounds on resonances states and width of resonances. Zbl 0652.47008
Sigal, I. M.
20
1988
Geometric theory of Stark resonances in multielectron systems. Zbl 0672.58050
Sigal, I. M.
9
1988
Life-time of Stark resonances. Zbl 0663.35050
Sigal, I. M.
1
1988
The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009
Sigal, I. M.; Soffer, A.
91
1987
Shape resonances in quantum mechanics. Zbl 0653.46074
Hislop, P. D.; Sigal, I. M.
9
1987
Asymptotic completeness of multiparticle scattering. Zbl 0651.35071
Sigal, I. M.; Soffer, A.
2
1987
Mathematical questions of quantum many-body theory. Zbl 0656.35133
Sigal, I. M.
1
1987
Analytic properties of the scattering matrix of many particle systems. Zbl 0605.47009
Sigal, I. M.
7
1986
Asymptotic completeness of short-range many-body systems. Zbl 0597.35026
Sigal, I. M.; Soffer, A.
2
1986
A generalized Weyl theorem and \(L^ p\)-spectra of Schrödinger operators. Zbl 0582.47003
Sigal, I. M.
3
1985
Complex transformation method and resonances in one-body quantum systems. Zbl 0568.47008
Sigal, I. M.
16
1984
...and 12 more Documents
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
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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. Physique Théorique
26 Advances in Mathematics
22 Journal of Differential Equations
22 Communications in Partial Differential Equations
18 Duke Mathematical Journal
17 Archive for Rational Mechanics and Analysis
15 Transactions of the American Mathematical Society
13 Discrete and Continuous Dynamical Systems
12 Communications on Pure and Applied Mathematics
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Mathematical Physics, Analysis and Geometry
8 Nonlinearity
8 Bulletin of the American Mathematical Society. New Series
7 Journal d’Analyse Mathématique
7 Annales de l’Institut Fourier
7 Mathematische Zeitschrift
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Physica D
7 SIAM Journal on Mathematical Analysis
7 Journal of Nonlinear Science
6 Reports on Mathematical Physics
6 Inventiones Mathematicae
6 Journal of Computational and Applied Mathematics
6 The Journal of Geometric Analysis
6 Advances in Mathematical Physics
6 Journal of Spectral Theory
5 Numerische Mathematik
5 Proceedings of the American Mathematical Society
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Calculus of Variations and Partial Differential Equations
4 Applicable Analysis
4 Journal of the Mathematical Society of Japan
4 Mathematische Annalen
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
4 Journal of Pseudo-Differential Operators and Applications
4 Séminaire Laurent Schwartz. 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
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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)

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