Israel Michael Sigal
List of Publications
Updated December, 2022
Get lists of my publications here
- Publications on arXiv.org
- ORCID list
-
(with J. Zhang)
On propagation of information in quantum many-body systems.
To be submitted (2022).
-
(with A. Gardner)
Instabiity of electroweak homogeneous vacua in strong magnetic fields.
Submitted (2022).
arXiv 2211.00769
-
(with N.M. Ercolani and J. Zhang)
Ginzburg-Landau equations on non-compact Riemann surfaces.
Submitted (2022).
arXiv 2203.14179
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(with J. Arbunich, J. Faupin, F. Pusateri)
Maximal speed of propagation in the Hartree equation.
Under revision (2022).
arXiv 2011.04570
-
(with J. Faupin, M. Lemm)
On Lieb-Robinson bounds for the Bose-Hubbard model.
Comm. Math. Phys.
394 1011-1037 (2022).
doi.org/10.1007/s00220-022-04416-8
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(with S. Breteaux, J. Faupin, M. Lemm)
Maximal speed of propagation in open quantum systems.
In The Physics and Mathematics of Elliott Lieb. Volume I.
R.L. Frank et al (eds)
EMS Press (2022).
doi.org/10.4171/90-1/6
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(with G. Dusson, B. Stamm)
Analysis of the Feshbach-Schur method for the planewave discretizations of Schrödinger operators.
MCOM.
To appear (2022).
arXiv 2008.10871
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Differential equations of quantum mechanics.
Quarterly of Applied Mathathematics
80 451-480 (2022).
dx.doi.org/10.1090/qam/1611
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(with J. Faupin, M. Lemm)
Maximal speed for macroscopic particle transport in the Bose-Hubbard model.
Phys. Rev. Letters
128 150602 (2022).
doi.org/10.1103/physrevlett.128.150602
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(with A. Talidou, A. Burchard)
Near-pulse solutions of the FitzHugh-Nagumo equations on cylindrical surfaces.
J. Nonlinear Science
31 57 (2021).
doi.org/10.1007/s00332-021-09710-8
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(with F. Pusateri)
Long-time behaviour of time-dependent density functional theory.
ARMA
241 447-443 (2021).
doi.org/10.1007/s00205-021-01656-1
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(with G. Dusson, B. Stamm)
The Feshbach-Schur map and perturbation theory.
In Partial Differential Equations, Spectral Theory, and Mathematical Physics. The Ari Laptev Anniversary Volume.
P. Exner et al eds.
EMS Press (2021).
dx.doi.org/10.4171/ecr/18-1/5
arXiv: arXiv 2105.02058
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(with J. Arbunich, F. Pusateri, A. Soffer)
Maximal speed of quantum propagation.
Letters Math. Phys.
111 62 (2021).
doi.org/10.1007/s11005-021-01397-y
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(with S. Gustafson)
Mathematical Concepts of Quantum Mechanics, 3rd ed.
Springer International Publishing (2020)
dx.doi.org/10.1007/978-3-030-59562-3
-
(with I. Chenn)
On derivation of the Poisson-Boltzmann Equation.
J. Stat. Phys.
180 954-1001 (2020)
doi.org/10.1007/s10955-020-02562-8
-
(with K. Rajaratnam)
Vortex lattice solutions of the ZHK Chern-Simons equations.
Nonlinearity
23(10) (2020).
doi.org/10.1088/1361-6544/ab9248
-
(with I. Chenn)
Vortex lattices and the Bogolubov-de Gennes equations.
Adv. Math.
380 107546 (2021).
doi.org/10.1016/j.aim.2020.107546
-
(with D. Chouchkov, N.M. Ercolani, S. Rayan)
Ginzburg-Landau equations on Riemann surfaces of higher genus.
Annales de l'Institute Henri Poincaré, Analyse Non Linéaire
37(1) (2020).
doi.org/10.1016/j.anihpc.2019.04.002
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(with V. Bach, S. Breteaux, T. Chen, J. Fröhlich)
The time-dependent Hartree-Fock-Bogolubov equations for bosons.
J. Evolution Equations
22 46 (2022).
doi.org/10.1007/s00028-022-00799-2
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(with I. Chenn)
On Effective PDEs of Quantum Physics.
In New Tools for Nonlinear PDEs and Application
D'Abbico, et al (eds.)
Birkhaüser (2019).
doi.org/10.1007/978-3-030-10937-0_1
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(with I. Chenn, G. Fournodavlos)
The effective dynamics of the volume preserving mean curvature flow.
J. Stat. Mech.
172 458-476 (2018).
doi.org/10.1007/s10955-018-2041-x
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(with Z. Gang, D. Knopf)
Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow.
Memoirs of the AMS
253(1210) (2018).
doi.org/10.1090/memo/1210
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(with I. Chenn, P. Smyrnelis)
On Abrikosov Lattice solutions of the Ginzburg-Landau Equations.
Math. Phys. Anal. Geom.
21 7 (2018).
doi.org/10.1007/s11040-017-9257-x
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(with T. Tzanateas)
On stability of Abrikosov vortex lattices.
Adv. Math.
328 108-199 (2018).
doi.org/10.1016/j.aim.2017.11.031
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(with I. Anapolitanis)
Long range behaviour of van der Waals forces.
Comm. Pure Appl. Math.
70(9) 1633-1671 (2017).
doi.org/10.1002/cpa.21695
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Radiation and Scattering in Non-relativistic Quantum Electrodynamics.
In Quantum Mathematical Physics: A Bridge Between Mathematics and Physics.
F. Finster et al (eds)
Birkhaüser (2016).
doi.org/10.1007/978-3-319-26902-3_13
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Magnetic Vortices, Abrikosov Lattices and Automophic Functions.
In Mathematical and Computational Modelling (With Applications in Natural and Social Sciences, Engineering and the Arts)
R. Melnick (ed.) Wiley (2015).
doi.org/10.1002/9781118853887.ch2
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(with Yu. Ovchinnikov)
Instability of a triangular Abrikosov lattice at values of the Ginzburg-Landau parameter κ close to unity.
J Exp Theor Phys
123(1) 2016.
doi.org/10.1134/S1063776116050083
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(with V. Bach, W. Pedra, M. Merkli)
Suppression of decoherence by periodic forcing.
J Stat Phys
155(6) 1271-1298 (2014).
https://doi.org/10.1007/s10955-014-0952-8
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(with S. I. Dejak, D. Egli, P.M. Lushnikov)
On blowup dynamics in the Keller-Segel model of chemotaxis.
St. Petersburg Math Journal
25(4) 547-574 (2013).
doi.org/10.1090/S1061-0022-2014-01306-4
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(with J. Faupin)
On Rayleigh scattering in non-relativistic quantum electrodynamics.
Comm. Math. Phys.
328(3) 1199-1254 (2014).
doi.org/10.1007/s00220-014-1883-6
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(with T. Tzanateas)
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation.
Math. Model Nat. Phenom.
8(5) 190-205 (2013).
doi.org/10.1051/mmnp/20138512
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(with D. Egli, J. Fröhlich, Z. Gang, A. Shao)
Hamiltonian Dynamics of a Particle Interacting with a Wave Field.
Comm. Partial Differential Equations
338(12) 2155-2198 (2013).
doi.org/10.1080/03605302.2013.816857
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(with J. Faupin)
Minimal Photon Velocity Bounds in Non-relativistic Quantum Electrodynamics.
J. Stat Physics
154(1-2) 58-90 (2014).
doi.org/10.1007/s10955-013-0862-1
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(with J. Faupin)
On quantum Huygens principle and Rayleigh scattering.
Preprint. (2012)
arXiv 1202.6151
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(with V. Bach, Th. Chen, J. Faupin, J. Fröhlich)
Effective dynamics of an electron coupled to an external potential in non-relativistic QED,
Annales Henri Poincaré
14(6) 1573-1597 (2013).
doi.org/10.1007/s00023-012-0222-8
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(with J.-F. Bony, J. Faupin)
Maximal velocity of photons in non-relativistic QED.
Adv in Mathematics
231(5) 3054-3078 (2012).
doi.org/10.1016/j.aim.2012.07.019
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(with W. Kong) On collapse of surfaces under mean curvature flow. (2012)
https://arxiv.org/abs/1110.5378
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(with T. Tzanateas) Abrikosov lattices at weak magnetic fields,
J. Functional Analysis
263(3) 675-702 (2012).
doi.org/10.1016/j.jfa.2012.04.018xs
-
(with S.I. Dejak, P.M. Lushnikov and Yu. Ovchinnikov)
On spectra of linearized operators for Keller-Segel models of chemotaxis.
Physica D
241 1245-1254 (2012).
arxiv.org/abs/1110.6393
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(with T. Tzaneteas) Stability of Abrikosov lattices under gauge-periodic perturbations.
Nonlinearity
25 1187-1210 (2012).
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Renormalization group and problem of radiation.
In Quantum Theory from Small to Large Scales. Lecture Notes of the Les Houches Summer School.
95 (2013).
arxiv.org/abs/1110.3841
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(with T. Chen, J. Faupin and J. Fröhlich)
Local decay in non-relativistic QED.
Comm. in Math. Phys.
309(2) 543-582 (2012)
arxiv.org/abs/0911.0828v1.
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(with T. Tzaneteas)
On Abrikosov lattices.
In Spectral Theory and Geometric Analysis
M. Braverman, et al, eds. AMS (2011)
-
(with J. Fröhlich, M. Griesemer)
Spectral Renormalization Group and Local Decay in the Standard Model of the non-relativistic Quantum Electrodynamics.
Rev. Math. Phys.
23(2) 179-209 (2011)
arXiv:0904.1014
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(with Yu. Ovchinnikov) Long-time relaxation processes in the nonlinear Schrödinger equation.
J. Exp. Theor. Phys
112(3) 469-478 (2011)
-
(with Yu. Ovchinnikov) On collapse of wave maps.
Physica D: Nonlinear Phenomena
240(17) 1311-1324 (2011)
-
(with B.L.G. Jonsson, Yu. Ovchinnikov, F.S.T. Ting)
Dynamics of breakup of multiple vortices in Gross-Pitaevskii equations of superfluids.
Journal of Mathematical Physics
52(9) 093505-1--093505-16 (2011)
-
(with S. Gustafson)
Mathematical Concepts of Quantum Mechanics
Springer, 2nd enlarged edition. (2011)
-
(with S. Gustafson, T. Tzaneteas)
Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings.
Journal of Mathematical Physics
51(1) (2010)
-
(with G.P. Berman, M. Merkli)
Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits.
Adv Math Phys
2010 Article ID 169710 (2010)
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(with D. Antonopoulou, G. Karali)
Stability of spheres under volume-preserving mean curvature flow.
Dynamics of PDE
7(4) 327-354 (2010)
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(with Zhou Gang), Neckpinching dynamics under mean curvature flow.
J Geometric Analysis
19(1) 36-80 (2009)
-
(with W. K. Abou Salem, J. Faupin, J. Fröhlich)
On the theory of resonances in non-relativistic QED and related models
Advances in Applied Mathematics
43 201-230 (2009).
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Ground State and Resonances in the Standard Model of the Non-Relativistic QED,
J Statistical Physics
134(5-6) 899-939 (2009).
arXiv:0806.3297
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(with J. Fröhlich and M. Griesemer) On Spectral Renormalization Group,
Rev Math Phys,
21 Issue: 4 (2009) pp. 511-548; arXiv:0811.2616.
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(with W. K. Abou Salem and J. Fröhlich),
Colliding solitons for the nonlinear Schrödinger equation,
Comm. Math. Physics,
291(1), 151--176, 2009; arXiv:0804.1608.
-
(with S. Dejak, Zhou Gang and S. Wang), Blowup dynamics in nonlinear heat equations,
Adv Appl Math
40 (2008), 433-481.
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(with G. Berman and M. Merkli) Resonance Theory of Decoherence and Thermalization,
Annals Physics,
323(2) (2008) 373-412.
-
(with J. Fröhlich and M. Griesemer) Spectral Theory for the Standard Model of Non-Relativistic QED,
Comm. Math. Physics,
283(3) (2008) 613-646.
-
(with G.P. Berman and M. Merkli), Dynamics of Collective Decoherence and Thermalization,
Annals of Physics
323(12) (2008) 3091-3312.
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(with M. Merkli and M. Mück),
Instability of equilibrium states for systems coupled to reservoirs at different
temperatures,
Journal of Functional Analysis,
243 (2007) 87-120.
-
(with V. Bach, T .Chen, J. Fröhlich)
The renormalized electron mass in non-relativistic quantum electrodynamics,
Journal of Functional Analysis
243 2007 426-535.
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(with G. Berman and M. Merkli) Decoherence and Thermalization,
Physical Review Letters
Vol.98, No.13, 30 March 2007.
(This article has been also selected for the April 2007 issue
of Virtual Journal of Quantum Information.)
-
(with M. Merkli and M. Mück) Theory of
non-equilibrium stationary states as a theory of resonances,
Annales Henri Poincaré
8 (2007), no. 8, 1539-1593.
-
(with Zhou Gang) Relaxation of solitons in nonlinear Schrödinger equations with potentials,
Adv Math,
216 (2007), no. 2, 443-490.
-
(with S. Gustafson),
Mathematical Concepts of Quantum Mechanics
Springer, 2nd enlarged printing, 2006. (One new chapter and several new or enlarged sections.)
-
(with S. Gustafson), Dynamics of Magnetic Vortices,
Advances in Mathematics, 199 (2006) 448-498.
-
(with S. Dejak), Long time dynamics of KdV solitary
waves over variable bottom,
Commun in Pure and Applied Mathematics
59 (2006) 869-905.
-
(with Y. Strauss), Effective Dynamics of a Magnetic Vortex in a Local potential,
Journal of Nonlinear Science,
16 (2006) 123-157.
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(with J. Fröhlich, S. Gustafson and L. Jonsson)
Long time motion of NLS solitary waves in a confining potential,
Annales Henri Poincaré
7 (2006) 621-660.
-
(with Zhou Gang) On Soliton Dynamics in Nonlinear Schrödinger Equations,
GAFA,
16 (2006) 1377-1390.
-
(with Zhou Gang),
Asymptotic stability of nonlinear Schrödinger equations with
potential, Reviews in Mathematical Physics, 17
(2005), 1193-1207.
-
(with J. Fröhlich and M. Merkli),
Ionization of
Atoms in a Thermal Field,
J. of Statistical Mechanics 116 (2004) 311-359.
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(with P. Bizon and Yu. Ovchinnikov),
Collapse of an instanton Nonlinearity
17 (2004) 1179-1191
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(with F. Ting)
Pinning of magnetic vortices, Algebra and Analysis
16 (2004) 239-268.
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(with Yu. Ovchinnikov),
Symmetry Breaking Solutions to the Ginzburg-Landau Equations,
JETP (2004), 1090-1108.
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(with J. Fröhlich, S. Gustafon and L. Jonsson)
Dynamics of solitary waves external potentials,
Commun Math Phys 250 (2004) 613-642.
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(with V. Bach, T. Chen and J. Fröhlich),
Smooth Feshbach map,
J. Funct. Anal., 203 (2003), 44-92.
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(with Yu. Ovchinnikov),
Multiparameter family of collapsing solutions of the
critical nonlinear Schrödingers equation,
JETP. 97
(2003) 194-203.
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(with S. Gustafson),
Mathematical Concepts of Quantum Mechanics,
Springer, Universitext Series (2003).
-
(with Yu. N. Ovchinnikov),
The energy of Ginzburg-Landau vortex, European Journal
of Applied Mathematics 13 (2002), 153-178.
-
(with A. Soffer and L. Zielinski),
On the spectral properties of Hamiltonians without
conservation of the particle number,
J. Math. Phys. 43 (2002), 1844-1855.
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(with B. Vasilijevic),
Mathematical theory of tunneling at positive temperatures,
Annales de l'Institut Henri Poincaré,
3 (2002), 1-41.
-
(with Yu. Ovchinnikov),
Collapse in the nonlinear Schrödinger equation,
JETP,
89 (2002), 35-40.
-
(with Yu. Ovchinnikov),
Collape in critical nonlinear Schrödinger equation,
JETP Letters,
75 (2002), 357-361.
-
(with Yu. N. Ovchinnikov),
Optical bistability, Journal of Experimental and
Theoretical Physics 93 (2001), 1004-1016
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Renormalization group approach in spectral analysis and problem of radiation, CMS
Notes 33 (3) (2001), 3-9
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(with S. Gustafson),
The stability of magnetic
vortices,
Comm. Math. Phys. 210 No.2 (2000), 257-276.
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(with A. Laptev),
Global Fourier
integral operators and semiclassical asymptotics,
Reviews in Math. Phys. 12 (2000), 749-766.
-
(with V. Bach and J. Fröhlich),
Return to equilibrium,
J. Math. Phys. 41 (2000) 3985-4060.
-
(with W. Hunziker),
Quantum many-body
problem,
J. Math. Phys. 41 (2000), 3448-3510.
-
(with Yu. N. Ovchinnikov),
Asymptotic behaviour of solutions of Ginzburg-Landau and related equations,
Rev. Math. Phys. 12 (2000), 287-299.
-
(with W. Hunziker),
Time-dependent scattering
theory of N-body systems,
Rev. Math. Phys. 12 No. 8 (2000), 1033-1084.
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Perron-Frobenius theory and
symmetry of solutions to nonlinear PDE's,
Letters Math Phys., 53 No.4 (2000), 313-320.
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(with M. Merkli),
A time dependent theory of
quantum resonance,
Comm. Math. Phys. 201 No.3 (1999), 549-576.
-
(with V. Bach, J. Fröhlich and A. Soffer),
Positive commutators and
spectrum of the radiation Hamiltonian, Comm. Math. Phys.
207 (1999), 557-587.
-
(with W. Hunziker and A. Soffer),
Minimal escape velocities revisited,
Comm. in PDE 24 (1999), 2279-2295.
-
(with V. Bach and J. Fröhlich),
Mathematical theory of non-relativistic matter and radiation,
Comm. Math. Phys. 207 No.2 (1999), 249-290.
-
(with Yu. N. Ovchinnikov),
Collapse in the nonlinear Schrödinger equation,
J. Exp. Theor. Phys. 89 (1999), 35-40.
-
(with V. Bach and J. Fröhlich),
Quantum electrodynamics of
confined non-relativistic particles,
Adv. Math. 137 (1998), 205-298.
-
(with V. Bach and J. Fröhlich),
The renormalization group approach to spectral
problems in QFT, Adv. in Math. 137 (1998), 299-395.
-
(with Yu. N. Ovchinnikov),
The Landau-Ginzburg equation III.
Vortex dynamics,
Nonlinearity 11 No.5 (1998), 1277-1294.
-
(with Yu. N. Ovchinnikov),
Dynamics of localized
structures, Physica A 261 (1998)
143-158.
-
(with Yu. N. Ovchinnikov),
On the Ginzburg-Landau and related equations,
Ecole Polytechnique, Exposé nº XX1 (1998),
1-13.
-
(with Yu. N. Ovchinnikov),
Long-time behaviour of
Ginzburg-Landau vortices,
Nonlinearity 11 No.5 (1998), 1295-1309.
-
(with Yu. N. Ovchinnikov),
Ginzburg-Landau equation I.
Static vortices.
Part. Diff. Eqn and their Appl.
CRM Proceedings 12 (1997), 199-220.
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(with R. Pyke),
Nonlinear wave equations:
Constraints on periods and exponential bounds for periodic
solutions,
Duke Math. J. 88 (1997), 133-180.
-
(with V. Bach and J. Fröhlich),
Mathematical Theory of
Radiation, Foundations of Physics
178 (1997), 227-237.
-
(with R. Pyke),
Positive commutator methods for nonlinear wave equations,
in Partial Differential Equations and their Applications,
CRM Proceedings 12 (1997), 239-249.
-
(with P. Hislop),
Introduction to Spectral Theory with Applications to Schrödinger Operators,
Springer-Verlag series of monographs on Applied Mathematical Sciences, 1996.
-
(with V. Bach and J. Fröhlich),
Mathematical theory of non-relativistic matter and
radiation, Letters in Math. Phys.
34 (1995), 183-201.
-
Asymptotic completeness,
AMS Transl. 175 (1996), 199-206.
-
Lectures on large Coulomb systems, in the Proceedings
of the Vancouver Mathematical Physics Summer School
(J. Feldman, R. Froese and L. Rosen, eds.),
CRM Proceedings and Lecture Notes, v. 7, AMS,
1995, 73-107.
-
(with W. Hunziker),
On general theory of N-body quantum systems,
CRM Proceedings and Lecture Notes, v. 7, AMS,
1995, 35-72.
-
General characteristics of non-linear dynamics,
in "Spectral and Scattering Theory"
(M. Ikawa, ed.), Marcel Dekker, Inc. 1994.
-
(with A. Soffer)
Asymptotic completeness of
N particle long range scattering,
Journal of AMS 7 (1994), 307-334.
-
(with A. Soffer),
Asymptotic completeness for N=4
particle systems with the Coulomb-type interactions,
Duke Math. J. 70 (1993), 243-298.
-
(with V. Ivrii),
Asymptotics of the ground
state energies of large Coulomb systems,
Annals of Mathematics 138 (1993), 243-335.
-
Non-Linear wave and Schrödinger equations I, instability
of periodic and quasiperiodic solutions,
Comm. Math. Phys. 153 (1993) 297-320.
-
(with Yu. N. Ovchinnikov),
Decay of vortex states in superconductors,
Phys. Rev. B. 48 (1993), 1085-1096.
-
(with S. DeBievre and P. Hislop),
Scattering theory for wave equation on non-compact
manifolds,
Reviews in Mathematical Physics Vol. 4, No. 4
(1992), 575-618.
-
(with C.L. Fefferman, V. Ivrii, L.A. Seco),
The energy asymptotics of large coulomb systems, in
Proceedings of Danish Summer School on Mathematical
Physics, Springer-Verlag 1992.
-
(with C. Gérard),
Time-space picture of resonance,
Comm. Math. Phys. 145 (1992), 281-328.
-
(with J.-M. Combes),
Dynamical behaviour of multiple well Schrödinger operators,
Proceedings in Quantum Mechanics,
Poiana Brasov, Romania, Springer-Verlag, 1991.
-
(with Yu. Ovchinnikov),
The decay rate of metastable state,
J. of Low Temp. Phys. 85 (1991), 125-135.
-
Mathematical questions of quantum mechanics of
many-particle systems, in
Proceedings of the ICM, Kyoto, 1990,
Springer-Verlag 1991.
-
On long-range scattering,
Duke Math. J. 60 N2, (1990), 473-496.
-
(with A. Soffer),
Long-range many-body
scattering. Asymptotic clustering for Coulomb-type
potentials,
Invent. Math. 99 (1990) 115-143.
doi.org/10.1007/BF01234413
-
Many-body scattering problem, in Proceedings of the
Nordic Summer School (H. Holden and A. Jensen, eds),
Lecture Notes in Physics, Sringer-Verlag, 1990.
-
(with L.A. Seco and J.P. Solovej),
Bound on the ionization energy . . . ,
Comm. Math. Phys. 131 (1990), 307-315.
-
Stark effect in multielectron systems:
non-existence of bound states,
Comm. Math. Phys. 122 (1989) 1-22.
-
(with P. Hislop),
Shape resonances,
A Memoir AMS, 78, N399, 1989.
-
Geometrical theory of resonances in multi-particle
systems,
Proceedings of the IX Congress on Mathematical Physics,
B. Simon, A. Truman and I. Davies, eds. U.K., Adam
Hilger 1989.
-
(with A. Soffer),
Local decay and velocity bounds for time-independent and time-dependent Hamiltonians, Preprint, Princeton, 1988.
-
Lectures on scattering theory, preprint,
Toronto 1988.
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Sharp exponential bounds on resonance states and
width of resonances,
Adv. in Appl. Math. 9 (1988) 127-166.
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Life-time of Stark resonances, in
Proceedings of Conf. on Field Theory and Related Topics,
CMS Conf. Proceedings 9 (1988)
233-246.
-
Geometrical theory of Stark resonances in multielectron
systems,
Comm. Math. Phys. 119 (1988) 287-314.
-
(with E. Lieb, S. Simon and W. Thirring),
Approximate neutrality of large-Z ions,
Comm. Math. Phys. 116 (1988) 635-649.
-
(with A. Soffer),
The N-particle scattering
problem: asymptotic completeness for short-range systems,
Annal. Math. 125 (1987) 35-108.
doi.org/10.2307/1971345
-
(with A. Soffer),
Asymptotic completeness for N-body quantum mechanics,
in VIII Int. Congr. on Math. Phys.
(M. Mebkhout and R. Seneor, eds) World Scientific
Publ. Co. 1987.
-
(with P. Hislop),
Shape resonances in quantum mechanics, in
Diff. Equations and Math. Physics 1986
(Knowles and Saito, eds) Springer Lect. Notes in Math.
N1285, 1987.
-
(with A. Soffer),
Asymptotic completeness of multiparticle scattering, in
Differential Equations and Mathematical Physics
(I. W. Knowles and Saito, eds) Springer Lect. Notes in Math.
N1285, 1987.
-
Mathematical questions of Quantum many-body theory, Seminaire Eq. Deriv. Part., 1986-1987,
Ecole Polytechnique.
-
(with A. Soffer),
Asymptotic completeness of short-range many-body systems,
Bull AMS 14 (1986) 107-110.
-
Analytic properties of the scattering matrix of many
particle systems,
Int. Eq. Oper. Theory 9 (1986) 134-153.
-
A generalized Weyl theorem and Lp-spectral
of Schrödinger operators,
J. Oper. Theory 13 (1985) 119-129.
-
How many electrons can a nucleus bind?
Annals of Phys. 157 (1984).
-
Asymptotic completeness of many-body short-range systems,
Lett. in Math. Phys. 8 (1984) 181-188.
-
Complex transformation method and resonances in one-body
systems,
Annal. Inst. H. Poincaré 41 (1984) 103-114,
Addendum 41 (1984) 333.
-
(with E. Lieb, B. Simon and W. Thirring),
Asymptotic bulk neutrality of large Z ions,
Phys. Rev. Lett. 52 (1984) 994-996.
-
Mathematical questions of quantum mechanical many-body
scattering theory.
Springer Lecture Notes in Math. N1011 (1983).
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Geometric parametrices and the many-body Birman-Schwinger principle,
Duke Math. J. 50 (1983) 517-537.
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Mathematical theory of single-channel
systems. Analyticity of scattering matrix,
Trans. AMS 270 (1982) 409-437.
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Geometric methods in quantum many-body problems, in
Mathematical Problems in Theoretical Physics,
Proc. of the VI Int. Conf. on Math. Physics, W. Berlin,
1981, R. Schrader et al, eds,
Lecture Notes in Physics N153 (1982) 149-156.
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Geometric methods in the quantum many-body problem.
Non-existence of very negative ions,
Comm. Math. Phys. 85 (1982) 309-324.
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Scattering theory in many-body quantum systems, analyticity
of the scattering matrix, in
Quantum Mechanics in Mathematics, Chemistry and Physics, Plenum Publ. Corp. N.Y. (1981),
pp. 307-329.
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(with P. Perry and B. Simon),
Spectral analysis of N-body
Schrödinger operators,
Ann. of Math. 114 (1981) 519-567.
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