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Sigal, Israel Michael

Author ID: sigal.israel-michael Recent zbMATH articles by "Sigal, Israel Michael"
Published as: Sigal, I. M.; Sigal, Israel Michael; Sigal, Israel M.
External Links: MGP · Wikidata · GND · IdRef
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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
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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

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 2,412 times in 1,300 Documents Cited by Year
Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002
Hislop, P. D.; Sigal, I. M.
246
1996
Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
154
1998
Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069
Perry, P.; Sigal, I. M.; Simon, B.
135
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
111
1999
The N-particle scattering problem: asymptotic completeness for short- range systems. Zbl 0646.47009
Sigal, I. M.; Soffer, A.
99
1987
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
92
1998
The quantum \(N\)-body problem. Zbl 0981.81026
Hunziker, W.; Sigal, I. M.
56
2000
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
56
2000
Solitary wave dynamics in an external potential. Zbl 1075.35075
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M.
56
2004
Mathematical concepts of quantum mechanics. 2nd ed. Zbl 1333.81002
Gustafson, Stephen J.; Sigal, Israel Michael
52
2011
Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106
Sigal, I. M.
46
1993
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
45
2003
Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. Zbl 0503.47041
Sigal, I. M.
43
1982
Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065
Gang, Zhou; Sigal, I. M.
43
2007
Minimal escape velocities. Zbl 0944.35014
Hunziker, W.; Sigal, I. M.; Soffer, A.
40
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
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
37
2007
Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135
Ivrii, V. Ja.; Sigal, I. M.
36
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.
30
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
28
2006
Resonance theory of decoherence and thermalization. Zbl 1201.81083
Merkli, M.; Sigal, I. M.; Berman, G. P.
26
2008
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
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
Decoherence and thermalization. Zbl 1228.82060
Merkli, M.; Sigal, I. M.; Berman, G. P.
21
2007
A time-dependent theory of quantum resonances. Zbl 0934.47007
Merkli, M.; Sigal, I. M.
20
1999
Mathematical concepts of quantum mechanics. Zbl 1033.81004
Gustafson, Stephen J.; Sigal, Israel Michael
20
2003
On Rayleigh scattering in non-relativistic quantum electrodynamics. Zbl 1315.81105
Faupin, Jérémy; Sigal, Israel Michael
20
2014
Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043
Merkli, M.; Mück, M.; Sigal, I. M.
20
2007
Time-dependent scattering theory of \(N\)-body quantum systems. Zbl 0978.47008
Hunziker, W.; Sigal, I. M.
19
2000
Complex transformation method and resonances in one-body quantum systems. Zbl 0568.47008
Sigal, I. M.
19
1984
Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023
Merkli, Marco; Mück, Matthias; Sigal, Israel Michael
18
2007
Local decay in non-relativistic QED. Zbl 1237.81125
Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M.
17
2012
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
16
1992
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
Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Zbl 1417.82033
Gustafson, S.; Sigal, I. M.; Tzaneteas, T.
16
2010
Collapse of an instanton. Zbl 1059.35081
Bizoń, P.; Ovchinnikov, Yu. N.; Sigal, I. M.
15
2004
Asymptotic completeness of \(N\)-particle long-range scattering. Zbl 0811.35091
Sigal, I. M.; Soffer, A.
14
1994
Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113
Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael
14
2012
Long-time behaviour of Ginzburg-Landau vortices. Zbl 0910.35116
Ovchinnikov, Yu. N.; Sigal, I. M.
13
1998
On spectral renormalization group. Zbl 1180.81102
Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael
13
2009
On soliton dynamics in nonlinear Schrödinger equations. Zbl 1110.35084
Gang, Zhou; Sigal, I. M.
13
2006
Neck pinching dynamics under mean curvature flow. Zbl 1179.53065
Gang, Zhou; Sigal, Israel Michael
13
2009
Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078
Ovchinnikov, Yuri N.; Sigal, Israel M.
12
1997
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
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
Dynamics of collective decoherence and thermalization. Zbl 1164.82005
Merkli, M.; Berman, G. P.; Sigal, I. M.
11
2008
Scattering theory for many-body quantum mechanical systems -rigorous results. Zbl 0522.47006
Sigal, Israel Michael
11
1983
Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289
Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M.
11
2009
Semiclassical theory of shape resonances in quantum mechanics. Zbl 0704.35115
Hislop, P. D.; Sigal, I. M.
11
1989
Mathematical foundations of quantum scattering theory for multiparticle systems. Zbl 0399.47008
Sigal, I. M.
11
1978
The Ginzburg-Landau equation. III: Vortex dynamics. Zbl 0990.35122
Ovchinnikov, Yu. N.; Sigal, I. M.
10
1998
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
Minimal photon velocity bounds in non-relativistic quantum electrodynamics. Zbl 1291.81403
Faupin, Jérémy; Sigal, Israel Michael
10
2014
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
Ionization of atoms in a thermal field. Zbl 1142.82347
Fröhlich, J.; Merkli, M.; Sigal, I. M.
10
2004
The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297
Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
10
2022
Shape resonances in quantum mechanics. Zbl 0653.46074
Hislop, P. D.; Sigal, I. M.
9
1987
Scattering theory for the wave equation on non-compact manifolds. Zbl 0778.58064
Debièvre, Stephan; Hislop, Peter D.; Sigal, I. M.
9
1992
On the discrete spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35061
Sigal, I. M.
9
1976
Geometric parametrices and the many-body Birman-Schwinger principle. Zbl 0543.47044
Sigal, I. M.
8
1983
Blow-up in nonlinear heat equations. Zbl 1180.35130
Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai
8
2008
On collapse of wave maps. Zbl 1232.35138
Ovchinnikov, Yu. N.; Sigal, I. M.
7
2011
Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153
Tzaneteas, T.; Sigal, I. M.
7
2011
On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060
Sigal, I. M.; Soffer, A.; Zielinski, L.
7
2002
Analytic properties of the scattering matrix of many particle systems. Zbl 0605.47009
Sigal, I. M.
7
1986
Long-range behavior of the van der Waals force. Zbl 1376.81087
Anapolitanos, Ioannis; Sigal, Israel Michael
7
2017
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
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
6
2014
Stability of Abrikosov lattices under gauge-periodic perturbations. Zbl 1236.35181
Sigal, Israel Michael; Tzaneteas, Tim
6
2012
Stability of spheres under volume-preserving mean curvature flow. Zbl 1219.35132
Antonopoulou, D.; Karali, G.; Sigal, I. M.
6
2010
Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109
Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M.
6
2020
On Abrikosov lattice solutions of the Ginzburg-Landau equation. Zbl 1400.35210
Tzaneteas, T.; Sigal, I. M.
6
2013
The general theory of \(N\)-body quantum systems. Zbl 0821.35036
Hunziker, W.; Sigal, I. M.
5
1995
The energy of Ginzburg-Landau vortices. Zbl 1209.35041
Ovchinnikov, Y. N.; Sigal, I. M.
5
2002
On long range behaviour of van der Waals force. Zbl 1339.81020
Anapolitanos, I.; Sigal, I. M.
5
2015
On stability of Abrikosov vortex lattices. Zbl 1401.82059
Sigal, Israel Michael; Tzaneteas, Tim
5
2018
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
Renormalization group and problem of radiation. Zbl 1292.81137
Sigal, Israel Michael
5
2012
On quantum mechanics of many-body systems with dilation-analytic potentials. Zbl 0399.47009
Sigal, I. M.
4
1978
Effective dynamics of a magnetic vortex in a local potential. Zbl 1106.78004
Strauss, Y.; Sigal, I. M.
4
2006
On the point spectrum of the Schrödinger operators of multiparticle systems. Zbl 0349.35062
Sigal, I. M.
4
1976
On Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1397.35293
Chenn, Ilias; Smyrnelis, Panayotis; Sigal, Israel Michael
4
2018
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
Life-time of Stark resonances. Zbl 0663.35050
Sigal, I. M.
3
1988
Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Zbl 0970.35140
Ovchinnikov, Yu. N.; Sigal, I. M.
3
2000
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
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
10
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
6
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.
17
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
5
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
52
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
On collapse of wave maps. Zbl 1232.35138
Ovchinnikov, Yu. N.; Sigal, I. M.
7
2011
Abrikosov lattice solutions of the Ginzburg-Landau equations. Zbl 1215.35153
Tzaneteas, T.; 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.
6
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
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
13
2009
Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289
Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M.
11
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
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.
26
2008
Dynamics of collective decoherence and thermalization. Zbl 1164.82005
Merkli, M.; Berman, G. P.; Sigal, I. M.
11
2008
Blow-up in nonlinear heat equations. Zbl 1180.35130
Dejak, Steven; Gang, Zhou; Sigal, Israel Michael; Wang, Shuangcai
8
2008
Relaxation of solitons in nonlinear Schrödinger equations with potential. Zbl 1126.35065
Gang, Zhou; Sigal, I. M.
43
2007
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
37
2007
Decoherence and thermalization. Zbl 1228.82060
Merkli, M.; Sigal, I. M.; Berman, G. P.
21
2007
Instability of equilibrium states for coupled heat reservoirs at different temperatures. Zbl 1122.81043
Merkli, M.; Mück, M.; Sigal, I. M.
20
2007
Theory of non-equilibrium stationary states as a theory of resonances. Zbl 1193.82023
Merkli, Marco; Mück, Matthias; Sigal, Israel Michael
18
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
28
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.
56
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
45
2003
Mathematical concepts of quantum mechanics. Zbl 1033.81004
Gustafson, Stephen J.; Sigal, Israel Michael
20
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
Mathematical theory of quantum tunneling decay at positive temperature. Zbl 1006.81009
Sigal, I. M.; Vasilijevic, B.
1
2002
The quantum \(N\)-body problem. Zbl 0981.81026
Hunziker, W.; Sigal, I. M.
56
2000
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
56
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
111
1999
Minimal escape velocities. Zbl 0944.35014
Hunziker, W.; Sigal, I. M.; Soffer, A.
40
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
154
1998
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
92
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.
10
1998
Ginzburg-Landau equation. I: Static vortices. Zbl 0912.35078
Ovchinnikov, Yuri N.; Sigal, Israel M.
12
1997
Introduction to spectral theory. With applications to Schrödinger operators. Zbl 0855.47002
Hislop, P. D.; Sigal, I. M.
246
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.
30
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.
14
1994
Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. Zbl 0780.35106
Sigal, I. M.
46
1993
Asymptotics of the ground state energies of large Coulomb systems. Zbl 0789.35135
Ivrii, V. Ja.; Sigal, I. M.
36
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
...and 22 more Documents
all top 5

Cited by 1,189 Authors

80 Sigal, Israel Michael
44 Fröhlich, Jürg Martin
30 Merkli, Marco
26 Gérard, Christian
26 Soffer, Avraham
25 Faupin, Jérémy
24 Bach, Volker
24 Hiroshima, Fumio
21 Cuccagna, Scipio
19 Herbst, Ira W.
18 Dereziński, Jan
17 Chen, Thomas
16 Hasler, David G.
16 Møller, Jacob Schach
16 Skibsted, Erik
15 Pizzo, Alessandro
15 Solovej, Jan Philip
14 Vougalter, Vitali
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
11 Adachi, Tadayoshi
11 Barbaroux, Jean-Marie
11 De Roeck, Wojciech
11 Guillot, Jean-Claude
11 Jakšić, Vojkan
11 Vugal’ter, Semën Abramovich
10 Amour, Laurent
10 Ballesteros, Miguel
10 Bruneau, Laurent
10 Könenberg, Martin
10 Maeda, Masaya
10 Spohn, Herbert
9 Arai, Asao
9 Berman, Gennady P.
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 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
6 Weinstein, Michael I.
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 Hislop, Peter D.
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
...and 1,089 more Authors
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Cited in 226 Serials

160 Communications in Mathematical Physics
110 Journal of Mathematical Physics
86 Journal of Functional Analysis
65 Reviews in Mathematical Physics
57 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
20 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
12 Annals of Physics
11 Reports on Mathematical Physics
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 Physics Letters. A
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 Journal of Computational and Applied Mathematics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 Journal of Physics A: Mathematical and Theoretical
6 Advances in Mathematical Physics
5 Mathematische Annalen
5 Studies in Applied Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Mathematical Sciences (New York)
5 Journal of Evolution Equations
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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Fluid Mechanics
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 Computers & Mathematics with Applications
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 Osaka Journal of Mathematics
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 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
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
...and 126 more Serials
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Cited in 53 Fields

765 Quantum theory (81-XX)
733 Partial differential equations (35-XX)
322 Operator theory (47-XX)
198 Statistical mechanics, structure of matter (82-XX)
77 Dynamical systems and ergodic theory (37-XX)
74 Functional analysis (46-XX)
59 Ordinary differential equations (34-XX)
54 Global analysis, analysis on manifolds (58-XX)
47 Numerical analysis (65-XX)
43 Optics, electromagnetic theory (78-XX)
36 Differential geometry (53-XX)
36 Probability theory and stochastic processes (60-XX)
33 Mechanics of particles and systems (70-XX)
30 Fluid mechanics (76-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
21 Relativity and gravitational theory (83-XX)
13 Biology and other natural sciences (92-XX)
11 Functions of a complex variable (30-XX)
10 Systems theory; control (93-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Measure and integration (28-XX)
7 Difference and functional equations (39-XX)
7 Integral equations (45-XX)
7 Statistics (62-XX)
6 Computer science (68-XX)
6 Mechanics of deformable solids (74-XX)
5 Combinatorics (05-XX)
5 Number theory (11-XX)
5 Real functions (26-XX)
4 History and biography (01-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Approximations and expansions (41-XX)
3 Algebraic geometry (14-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)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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