Israel Michael Sigal

List of Publications

Updated December, 2022

Get lists of my publications here
- Publications on arXiv.org
- ORCID list

  1. (with J. Zhang) On propagation of information in quantum many-body systems. To be submitted (2022).
  2. (with A. Gardner) Instabiity of electroweak homogeneous vacua in strong magnetic fields. Submitted (2022). arXiv 2211.00769
  3. (with N.M. Ercolani and J. Zhang) Ginzburg-Landau equations on non-compact Riemann surfaces. Submitted (2022). arXiv 2203.14179
  4. (with J. Arbunich, J. Faupin, F. Pusateri) Maximal speed of propagation in the Hartree equation. Under revision (2022). arXiv 2011.04570
  5. (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
  6. (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
  7. (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
  8. Differential equations of quantum mechanics. Quarterly of Applied Mathathematics 80 451-480 (2022). dx.doi.org/10.1090/qam/1611
  9. (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
  10. (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
  11. (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
  12. (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
  13. (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
  14. (with S. Gustafson) Mathematical Concepts of Quantum Mechanics, 3rd ed. Springer International Publishing (2020) dx.doi.org/10.1007/978-3-030-59562-3
  15. (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
  16. (with K. Rajaratnam) Vortex lattice solutions of the ZHK Chern-Simons equations. Nonlinearity 23(10) (2020). doi.org/10.1088/1361-6544/ab9248
  17. (with I. Chenn) Vortex lattices and the Bogolubov-de Gennes equations. Adv. Math. 380 107546 (2021). doi.org/10.1016/j.aim.2020.107546
  18. (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
  19. (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
  20. (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
  21. (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
  22. (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
  23. (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
  24. (with T. Tzanateas) On stability of Abrikosov vortex lattices. Adv. Math. 328 108-199 (2018). doi.org/10.1016/j.aim.2017.11.031
  25. (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
  26. 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
  27. 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
  28. (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
  29. (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
  30. (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
  31. (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
  32. (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
  33. (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
  34. (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
  35. (with J. Faupin) On quantum Huygens principle and Rayleigh scattering. Preprint. (2012) arXiv 1202.6151
  36. (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
  37. (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
  38. (with W. Kong) On collapse of surfaces under mean curvature flow. (2012) https://arxiv.org/abs/1110.5378
  39. (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
  40. (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
  41. (with T. Tzaneteas) Stability of Abrikosov lattices under gauge-periodic perturbations. Nonlinearity 25 1187-1210 (2012).
  42. 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
  43. (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.
  44. (with T. Tzaneteas) On Abrikosov lattices. In Spectral Theory and Geometric Analysis M. Braverman, et al, eds. AMS (2011)
  45. (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
  46. (with Yu. Ovchinnikov) Long-time relaxation processes in the nonlinear Schrödinger equation. J. Exp. Theor. Phys 112(3) 469-478 (2011)
  47. (with Yu. Ovchinnikov) On collapse of wave maps. Physica D: Nonlinear Phenomena 240(17) 1311-1324 (2011)
  48. (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)
  49. (with S. Gustafson) Mathematical Concepts of Quantum Mechanics Springer, 2nd enlarged edition. (2011)
  50. (with S. Gustafson, T. Tzaneteas) Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Journal of Mathematical Physics 51(1) (2010)
  51. (with G.P. Berman, M. Merkli) Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits. Adv Math Phys 2010 Article ID 169710 (2010)
  52. (with D. Antonopoulou, G. Karali) Stability of spheres under volume-preserving mean curvature flow. Dynamics of PDE 7(4) 327-354 (2010)
  53. (with Zhou Gang), Neckpinching dynamics under mean curvature flow. J Geometric Analysis 19(1) 36-80 (2009)
  54. (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).
  55. 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
  56. (with J. Fröhlich and M. Griesemer) On Spectral Renormalization Group, Rev Math Phys, 21 Issue: 4 (2009) pp. 511-548; arXiv:0811.2616.
  57. (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.
  58. (with S. Dejak, Zhou Gang and S. Wang), Blowup dynamics in nonlinear heat equations, Adv Appl Math 40 (2008), 433-481.
  59. (with G. Berman and M. Merkli) Resonance Theory of Decoherence and Thermalization, Annals Physics, 323(2) (2008) 373-412.
  60. (with J. Fröhlich and M. Griesemer) Spectral Theory for the Standard Model of Non-Relativistic QED, Comm. Math. Physics, 283(3) (2008) 613-646.
  61. (with G.P. Berman and M. Merkli), Dynamics of Collective Decoherence and Thermalization, Annals of Physics 323(12) (2008) 3091-3312.
  62. (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.
  63. (with V. Bach, T .Chen, J. Fröhlich) The renormalized electron mass in non-relativistic quantum electrodynamics, Journal of Functional Analysis 243 2007 426-535.
  64. (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.)
  65. (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.
  66. (with Zhou Gang) Relaxation of solitons in nonlinear Schrödinger equations with potentials, Adv Math, 216 (2007), no. 2, 443-490.
  67. (with S. Gustafson), Mathematical Concepts of Quantum Mechanics Springer, 2nd enlarged printing, 2006. (One new chapter and several new or enlarged sections.)
  68. (with S. Gustafson), Dynamics of Magnetic Vortices, Advances in Mathematics, 199 (2006) 448-498.
  69. (with S. Dejak), Long time dynamics of KdV solitary waves over variable bottom, Commun in Pure and Applied Mathematics 59 (2006) 869-905.
  70. (with Y. Strauss), Effective Dynamics of a Magnetic Vortex in a Local potential, Journal of Nonlinear Science, 16 (2006) 123-157.
  71. (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.
  72. (with Zhou Gang) On Soliton Dynamics in Nonlinear Schrödinger Equations, GAFA, 16 (2006) 1377-1390.
  73. (with Zhou Gang), Asymptotic stability of nonlinear Schrödinger equations with potential, Reviews in Mathematical Physics, 17 (2005), 1193-1207.
  74. (with J. Fröhlich and M. Merkli), Ionization of Atoms in a Thermal Field, J. of Statistical Mechanics 116 (2004) 311-359.
  75. (with P. Bizon and Yu. Ovchinnikov), Collapse of an instanton Nonlinearity 17 (2004) 1179-1191
  76. (with F. Ting) Pinning of magnetic vortices, Algebra and Analysis 16 (2004) 239-268.
  77. (with Yu. Ovchinnikov), Symmetry Breaking Solutions to the Ginzburg-Landau Equations, JETP (2004), 1090-1108.
  78. (with J. Fröhlich, S. Gustafon and L. Jonsson) Dynamics of solitary waves external potentials, Commun Math Phys 250 (2004) 613-642.
  79. (with V. Bach, T. Chen and J. Fröhlich), Smooth Feshbach map, J. Funct. Anal., 203 (2003), 44-92.
  80. (with Yu. Ovchinnikov), Multiparameter family of collapsing solutions of the critical nonlinear Schrödingers equation, JETP. 97 (2003) 194-203.
  81. (with S. Gustafson), Mathematical Concepts of Quantum Mechanics, Springer, Universitext Series (2003).
  82. (with Yu. N. Ovchinnikov), The energy of Ginzburg-Landau vortex, European Journal of Applied Mathematics 13 (2002), 153-178.
  83. (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.
  84. (with B. Vasilijevic), Mathematical theory of tunneling at positive temperatures, Annales de l'Institut Henri Poincaré, 3 (2002), 1-41.
  85. (with Yu. Ovchinnikov), Collapse in the nonlinear Schrödinger equation, JETP, 89 (2002), 35-40.
  86. (with Yu. Ovchinnikov), Collape in critical nonlinear Schrödinger equation, JETP Letters, 75 (2002), 357-361.
  87. (with Yu. N. Ovchinnikov), Optical bistability, Journal of Experimental and Theoretical Physics 93 (2001), 1004-1016
  88. Renormalization group approach in spectral analysis and problem of radiation, CMS Notes 33 (3) (2001), 3-9
  89. (with S. Gustafson), The stability of magnetic vortices, Comm. Math. Phys. 210 No.2 (2000), 257-276.
  90. (with A. Laptev), Global Fourier integral operators and semiclassical asymptotics, Reviews in Math. Phys. 12 (2000), 749-766.
  91. (with V. Bach and J. Fröhlich), Return to equilibrium, J. Math. Phys.  41 (2000) 3985-4060.
  92. (with W. Hunziker), Quantum many-body problem, J. Math. Phys. 41 (2000), 3448-3510.
  93. (with Yu. N. Ovchinnikov), Asymptotic behaviour of solutions of Ginzburg-Landau and related equations, Rev. Math. Phys. 12 (2000), 287-299.
  94. (with W. Hunziker), Time-dependent scattering theory of N-body systems, Rev. Math. Phys. 12 No. 8 (2000), 1033-1084.
  95. Perron-Frobenius theory and symmetry of solutions to nonlinear PDE's, Letters Math Phys., 53 No.4 (2000), 313-320.
  96. (with M. Merkli), A time dependent theory of quantum resonance, Comm. Math. Phys. 201 No.3 (1999), 549-576.
  97. (with V. Bach, J. Fröhlich and A. Soffer), Positive commutators and spectrum of the radiation Hamiltonian, Comm. Math. Phys. 207 (1999), 557-587.
  98. (with W. Hunziker and A. Soffer), Minimal escape velocities revisited, Comm. in PDE 24 (1999), 2279-2295.
  99. (with V. Bach and J. Fröhlich), Mathematical theory of non-relativistic matter and radiation, Comm. Math. Phys. 207 No.2 (1999), 249-290.
  100. (with Yu. N. Ovchinnikov), Collapse in the nonlinear Schrödinger equation, J. Exp. Theor. Phys. 89 (1999), 35-40.
  101. (with V. Bach and J. Fröhlich), Quantum electrodynamics of confined non-relativistic particles, Adv. Math. 137 (1998), 205-298.
  102. (with V. Bach and J. Fröhlich), The renormalization group approach to spectral problems in QFT, Adv. in Math. 137 (1998), 299-395.
  103. (with Yu. N. Ovchinnikov), The Landau-Ginzburg equation III. Vortex dynamics, Nonlinearity 11 No.5 (1998), 1277-1294.
  104. (with Yu. N. Ovchinnikov), Dynamics of localized structures, Physica A 261 (1998) 143-158.
  105. (with Yu. N. Ovchinnikov), On the Ginzburg-Landau and related equations, Ecole Polytechnique, Exposé nº XX1 (1998), 1-13.
  106. (with Yu. N. Ovchinnikov), Long-time behaviour of Ginzburg-Landau vortices, Nonlinearity 11 No.5 (1998), 1295-1309.
  107. (with Yu. N. Ovchinnikov), Ginzburg-Landau equation I. Static vortices. Part. Diff. Eqn and their Appl. CRM Proceedings 12 (1997), 199-220.
  108. (with R. Pyke), Nonlinear wave equations: Constraints on periods and exponential bounds for periodic solutions, Duke Math. J. 88 (1997), 133-180.
  109. (with V. Bach and J. Fröhlich), Mathematical Theory of Radiation, Foundations of Physics 178 (1997), 227-237.
  110. (with R. Pyke), Positive commutator methods for nonlinear wave equations, in Partial Differential Equations and their Applications, CRM Proceedings 12 (1997), 239-249.
  111. (with P. Hislop), Introduction to Spectral Theory with Applications to Schrödinger Operators, Springer-Verlag series of monographs on Applied Mathematical Sciences, 1996.
  112. (with V. Bach and J. Fröhlich), Mathematical theory of non-relativistic matter and radiation, Letters in Math. Phys. 34 (1995), 183-201.
  113. Asymptotic completeness, AMS Transl. 175 (1996), 199-206.
  114. 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.
  115. (with W. Hunziker), On general theory of N-body quantum systems, CRM Proceedings and Lecture Notes, v. 7, AMS, 1995, 35-72.
  116. General characteristics of non-linear dynamics, in "Spectral and Scattering Theory" (M. Ikawa, ed.), Marcel Dekker, Inc. 1994.
  117. (with A. Soffer) Asymptotic completeness of N particle long range scattering, Journal of AMS 7 (1994), 307-334.
  118. (with A. Soffer), Asymptotic completeness for N=4 particle systems with the Coulomb-type interactions, Duke Math. J. 70 (1993), 243-298.
  119. (with V. Ivrii), Asymptotics of the ground state energies of large Coulomb systems, Annals of Mathematics 138 (1993), 243-335.
  120. Non-Linear wave and Schrödinger equations I, instability of periodic and quasiperiodic solutions, Comm. Math. Phys. 153 (1993) 297-320.
  121. (with Yu. N. Ovchinnikov), Decay of vortex states in superconductors, Phys. Rev. B. 48 (1993), 1085-1096.
  122. (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.
  123. (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.
  124. (with C. Gérard), Time-space picture of resonance, Comm. Math. Phys. 145 (1992), 281-328.
  125. (with J.-M. Combes), Dynamical behaviour of multiple well Schrödinger operators, Proceedings in Quantum Mechanics, Poiana Brasov, Romania, Springer-Verlag, 1991.
  126. (with Yu. Ovchinnikov), The decay rate of metastable state, J. of Low Temp. Phys. 85 (1991), 125-135.
  127. Mathematical questions of quantum mechanics of many-particle systems, in Proceedings of the ICM, Kyoto, 1990, Springer-Verlag 1991.
  128. On long-range scattering, Duke Math. J. 60 N2, (1990), 473-496.
  129. (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
  130. Many-body scattering problem, in Proceedings of the Nordic Summer School (H. Holden and A. Jensen, eds), Lecture Notes in Physics, Sringer-Verlag, 1990.
  131. (with L.A. Seco and J.P. Solovej), Bound on the ionization energy  . . . , Comm. Math. Phys. 131 (1990), 307-315.
  132. Stark effect in multielectron systems: non-existence of bound states, Comm. Math. Phys. 122 (1989) 1-22.
  133. (with P. Hislop), Shape resonances, A Memoir AMS, 78, N399, 1989.
  134. 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.
  135. (with A. Soffer), Local decay and velocity bounds for time-independent and time-dependent Hamiltonians, Preprint, Princeton, 1988.
  136. Lectures on scattering theory, preprint, Toronto 1988.
  137. Sharp exponential bounds on resonance states and width of resonances, Adv. in Appl. Math. 9 (1988) 127-166.
  138. Life-time of Stark resonances, in Proceedings of Conf. on Field Theory and Related Topics, CMS Conf. Proceedings 9 (1988) 233-246.
  139. Geometrical theory of Stark resonances in multielectron systems, Comm. Math. Phys. 119 (1988) 287-314.
  140. (with E. Lieb, S. Simon and W. Thirring), Approximate neutrality of large-Z ions, Comm. Math. Phys. 116 (1988) 635-649.
  141. (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
  142. (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.
  143. (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.
  144. (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.
  145. Mathematical questions of Quantum many-body theory, Seminaire Eq. Deriv. Part., 1986-1987, Ecole Polytechnique.
  146. (with A. Soffer), Asymptotic completeness of short-range many-body systems, Bull AMS 14 (1986) 107-110.
  147. Analytic properties of the scattering matrix of many particle systems, Int. Eq. Oper. Theory 9 (1986) 134-153.
  148. A generalized Weyl theorem and Lp-spectral of Schrödinger operators, J. Oper. Theory 13 (1985) 119-129.
  149. How many electrons can a nucleus bind? Annals of Phys. 157 (1984).
  150. Asymptotic completeness of many-body short-range systems, Lett. in Math. Phys. 8 (1984) 181-188.
  151. Complex transformation method and resonances in one-body systems, Annal. Inst. H. Poincaré 41 (1984) 103-114, Addendum 41 (1984) 333.
  152. (with E. Lieb, B. Simon and W. Thirring), Asymptotic bulk neutrality of large Z ions, Phys. Rev. Lett. 52 (1984) 994-996.
  153. Mathematical questions of quantum mechanical many-body scattering theory. Springer Lecture Notes in Math. N1011 (1983).
  154. Geometric parametrices and the many-body Birman-Schwinger principle, Duke Math. J. 50 (1983) 517-537.
  155. Mathematical theory of single-channel systems. Analyticity of scattering matrix, Trans. AMS 270 (1982) 409-437.
  156. 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.
  157. Geometric methods in the quantum many-body problem. Non-existence of very negative ions, Comm. Math. Phys. 85 (1982) 309-324.
  158. 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.
  159. (with P. Perry and B. Simon), Spectral analysis of N-body Schrödinger operators, Ann. of Math. 114 (1981) 519-567.

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