Israel Michael Sigal F.R.S.C. · University Professor · Norman Stuart Robertson Chair in Applied Mathematics

List of Publications

Updated September 2026 · 169 entries

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  1. Light-cone structure of propagation of entanglement. Journal of Physics (to appear) (2026) arXiv
  2. with X. Wu On propagation of quantum information in Markov quantum open systems. Annals of Physics 493 DOI
  3. with X. Wu On light cone bounds for Markov quantum open systems. Letters in Mathematical Physics 116(3) (2026) arXiv DOI
  4. with D. Ouyang Approach to equilibrium in Markovian open quantum systems. Journal of Mathematical Physics 67(3) (2026) arXiv DOI
  5. with S. Gherghe, I. Moyano On the time-dependent Born-Oppenheimer approximation. European Journal of Applied Mathematics (2026) arXiv DOI
  6. with M. Lemm, J. Faupin, J. Zhang Macroscopic suppression of supersonic quantum transport. Phys. Rev. Lett. 135(16) (2025) arXiv DOI
  7. with J. Zhang On propagation of information in quantum many-body systems. Annals of Physics 480, 170103 (2025) DOI
  8. with G. Karali, K. Tzirakis The FitzHugh-Nagumo system on undulated cylinders: spontaneous symmetrization and effective system. J. Nonlinear Science 35, 64 (2025) DOI
  9. with X. Wu On propagation of information in quantum mechanics and maximal velocity bounds. Letters in Math. Phys. 115, 17 (2025) DOI
  10. with D. Ouyang, S. Breteaux, J. Faupin Light cones for open quantum systems in the continuum. Rev. Math. Physics 36(9), 2460004 (2024) DOI
  11. with A. Gardner Instability of electroweak homogeneous vacua in strong magnetic fields. Annales Henri Poincaré 25, 5277-5337 (2024) DOI
  12. with M. Lemm, C. Rubiliani, J. Zhang Information propagation in long-range quantum many-body systems. Phys. Rev. A 108, L060401 (2023) DOI
  13. with N.M. Ercolani, J. Zhang Ginzburg-Landau equations on non-compact Riemann surfaces. J. Func. Anal. 25(8) (2023) DOI
  14. with G. Dusson, B. Stamm Analysis of the Feshbach-Schur method for the planewave discretizations of Schrödinger operators. Math. of Comp. 92, 217-249 (2023) DOI
  15. with J. Arbunich, J. Faupin, F. Pusateri Maximal speed of propagation in the Hartree equation. Comm. PDE 48(4) (2023) DOI
  16. with J. Faupin, M. Lemm On Lieb-Robinson bounds for the Bose-Hubbard model. Comm. Math. Phys. 394, 1011-1037 (2022) DOI
  17. 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
  18. Differential equations of quantum mechanics. Quarterly of Applied Mathematics 80, 451-480 (2022) DOI
  19. with J. Faupin, M. Lemm Maximal speed for macroscopic particle transport in the Bose-Hubbard model. Phys. Rev. Letters 128, 150602 (2022) DOI
  20. with A. Talidou, A. Burchard Near-pulse solutions of the FitzHugh-Nagumo equations on cylindrical surfaces. J. Nonlinear Science 31, 57 (2021) DOI
  21. with F. Pusateri Long-time behaviour of time-dependent density functional theory. ARMA 241, 447-443 (2021) DOI
  22. 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) DOI
  23. with J. Arbunich, F. Pusateri, A. Soffer Maximal speed of quantum propagation. Letters Math. Phys. 111, 62 (2021) DOI
  24. with S. Gustafson Mathematical Concepts of Quantum Mechanics, 3rd ed. Springer International Publishing (2020) DOI
  25. with I. Chenn On derivation of the Poisson-Boltzmann Equation. J. Stat. Phys. 180, 954-1001 (2020) DOI
  26. with K. Rajaratnam Vortex lattice solutions of the ZHK Chern-Simons equations. Nonlinearity 23(10) (2020) DOI
  27. with I. Chenn Vortex lattices and the Bogolubov-de Gennes equations. Adv. Math. 380, 107546 (2021) DOI
  28. 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
  29. 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
  30. with I. Chenn On Effective PDEs of Quantum Physics. In New Tools for Nonlinear PDEs and Application, D'Abbico et al (eds), Birkhäuser (2019) DOI
  31. with I. Chenn, G. Fournodavlos The effective dynamics of the volume preserving mean curvature flow. J. Stat. Mech. 172, 458-476 (2018) DOI
  32. with Z. Gang, D. Knopf Neckpinch dynamics for asymmetric surfaces evolving by mean curvature flow. Memoirs of the AMS 253(1210) (2018) DOI
  33. with I. Chenn, P. Smyrnelis On Abrikosov Lattice solutions of the Ginzburg-Landau Equations. Math. Phys. Anal. Geom. 21, 7 (2018) DOI
  34. with T. Tzanateas On stability of Abrikosov vortex lattices. Adv. Math. 328, 108-199 (2018) DOI
  35. with I. Anapolitanis Long range behaviour of van der Waals forces. Comm. Pure Appl. Math. 70(9), 1633-1671 (2017) DOI
  36. Radiation and Scattering in Non-relativistic Quantum Electrodynamics. In Quantum Mathematical Physics: A Bridge Between Mathematics and Physics. F. Finster et al (eds), Birkhäuser (2016) DOI
  37. Magnetic Vortices, Abrikosov Lattices and Automorphic Functions. In Mathematical and Computational Modelling (With Applications in Natural and Social Sciences, Engineering and the Arts), R. Melnick (ed.), Wiley (2015) DOI
  38. 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
  39. with V. Bach, W. Pedra, M. Merkli Suppression of decoherence by periodic forcing. J Stat Phys 155(6), 1271-1298 (2014) DOI
  40. 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
  41. with J. Faupin On Rayleigh scattering in non-relativistic quantum electrodynamics. Comm. Math. Phys. 328(3), 1199-1254 (2014) DOI
  42. with T. Tzanateas On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation. Math. Model Nat. Phenom. 8(5), 190-205 (2013) DOI
  43. 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
  44. with J. Faupin Minimal Photon Velocity Bounds in Non-relativistic Quantum Electrodynamics. J. Stat Physics 154(1-2), 58-90 (2014) DOI
  45. with J. Faupin On quantum Huygens principle and Rayleigh scattering. Preprint (2012) arXiv
  46. 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
  47. with J.-F. Bony, J. Faupin Maximal velocity of photons in non-relativistic QED. Adv in Mathematics 231(5), 3054-3078 (2012) DOI
  48. with W. Kong On collapse of surfaces under mean curvature flow. (2012) arXiv
  49. with T. Tzanateas Abrikosov lattices at weak magnetic fields. J. Functional Analysis 263(3), 675-702 (2012) DOI
  50. with S.I. Dejak, P.M. Lushnikov, Yu. Ovchinnikov On spectra of linearized operators for Keller-Segel models of chemotaxis. Physica D 241, 1245-1254 (2012) arXiv
  51. with T. Tzaneteas Stability of Abrikosov lattices under gauge-periodic perturbations. Nonlinearity 25, 1187-1210 (2012)
  52. 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
  53. with T. Chen, J. Faupin, J. Fröhlich Local decay in non-relativistic QED. Comm. in Math. Phys. 309(2), 543-582 (2012) arXiv
  54. with T. Tzaneteas On Abrikosov lattices. In Spectral Theory and Geometric Analysis, M. Braverman et al (eds), AMS (2011)
  55. 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
  56. with Yu. Ovchinnikov Long-time relaxation processes in the nonlinear Schrödinger equation. J. Exp. Theor. Phys 112(3), 469-478 (2011)
  57. with Yu. Ovchinnikov On collapse of wave maps. Physica D: Nonlinear Phenomena 240(17), 1311-1324 (2011)
  58. 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)
  59. with S. Gustafson Mathematical Concepts of Quantum Mechanics, 2nd enlarged edition. Springer (2011)
  60. with S. Gustafson, T. Tzaneteas Statics and dynamics of magnetic vortices and of Nielsen-Olesen (Nambu) strings. Journal of Mathematical Physics 51(1) (2010)
  61. with G.P. Berman, M. Merkli Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits. Adv Math Phys 2010, Article ID 169710 (2010)
  62. with D. Antonopoulou, G. Karali Stability of spheres under volume-preserving mean curvature flow. Dynamics of PDE 7(4), 327-354 (2010)
  63. with Zhou Gang Neckpinching dynamics under mean curvature flow. J Geometric Analysis 19(1), 36-80 (2009)
  64. 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)
  65. Ground State and Resonances in the Standard Model of the Non-Relativistic QED. J Statistical Physics 134(5-6), 899-939 (2009) arXiv
  66. with J. Fröhlich, M. Griesemer On Spectral Renormalization Group. Rev Math Phys 21(4), 511-548 (2009) arXiv
  67. with W. K. Abou Salem, J. Fröhlich Colliding solitons for the nonlinear Schrödinger equation. Comm. Math. Physics 291(1), 151-176 (2009) arXiv
  68. with S. Dejak, Zhou Gang, S. Wang Blowup dynamics in nonlinear heat equations. Adv Appl Math 40, 433-481 (2008)
  69. with G. Berman, M. Merkli Resonance Theory of Decoherence and Thermalization. Annals Physics 323(2), 373-412 (2008)
  70. with J. Fröhlich, M. Griesemer Spectral Theory for the Standard Model of Non-Relativistic QED. Comm. Math. Physics 283(3), 613-646 (2008)
  71. with G.P. Berman, M. Merkli Dynamics of Collective Decoherence and Thermalization. Annals of Physics 323(12), 3091-3312 (2008)
  72. with M. Merkli, M. Mück Instability of equilibrium states for systems coupled to reservoirs at different temperatures. Journal of Functional Analysis 243, 87-120 (2007)
  73. with V. Bach, T. Chen, J. Fröhlich The renormalized electron mass in non-relativistic quantum electrodynamics. Journal of Functional Analysis 243, 426-535 (2007)
  74. with G. Berman, M. Merkli Decoherence and Thermalization. Physical Review Letters 98(13) (2007). Also selected for the April 2007 issue of Virtual Journal of Quantum Information
  75. with M. Merkli, M. Mück Theory of non-equilibrium stationary states as a theory of resonances. Annales Henri Poincaré 8(8), 1539-1593 (2007)
  76. with Zhou Gang Relaxation of solitons in nonlinear Schrödinger equations with potentials. Adv Math 216(2), 443-490 (2007)
  77. with S. Gustafson Mathematical Concepts of Quantum Mechanics, 2nd enlarged printing. Springer (2006). One new chapter and several new or enlarged sections
  78. with S. Gustafson Dynamics of Magnetic Vortices. Advances in Mathematics 199, 448-498 (2006)
  79. with S. Dejak Long time dynamics of KdV solitary waves over variable bottom. Commun in Pure and Applied Mathematics 59, 869-905 (2006)
  80. with Y. Strauss Effective Dynamics of a Magnetic Vortex in a Local Potential. Journal of Nonlinear Science 16, 123-157 (2006)
  81. with J. Fröhlich, S. Gustafson, L. Jonsson Long time motion of NLS solitary waves in a confining potential. Annales Henri Poincaré 7, 621-660 (2006)
  82. with Zhou Gang On Soliton Dynamics in Nonlinear Schrödinger Equations. GAFA 16, 1377-1390 (2006)
  83. with Zhou Gang Asymptotic stability of nonlinear Schrödinger equations with potential. Reviews in Mathematical Physics 17, 1193-1207 (2005)
  84. with J. Fröhlich, M. Merkli Ionization of Atoms in a Thermal Field. J. of Statistical Mechanics 116, 311-359 (2004) PDF
  85. with P. Bizon, Yu. Ovchinnikov Collapse of an instanton. Nonlinearity 17, 1179-1191 (2004)
  86. with F. Ting Pinning of magnetic vortices. Algebra and Analysis 16, 239-268 (2004)
  87. with Yu. Ovchinnikov Symmetry Breaking Solutions to the Ginzburg-Landau Equations. JETP (2004), 1090-1108
  88. with J. Fröhlich, S. Gustafson, L. Jonsson Dynamics of solitary waves external potentials. Commun Math Phys 250, 613-642 (2004)
  89. with V. Bach, T. Chen, J. Fröhlich Smooth Feshbach map. J. Funct. Anal. 203, 44-92 (2003)
  90. with Yu. Ovchinnikov Multiparameter family of collapsing solutions of the critical nonlinear Schrödinger equation. JETP 97, 194-203 (2003)
  91. with S. Gustafson Mathematical Concepts of Quantum Mechanics. Springer, Universitext Series (2003)
  92. with Yu. N. Ovchinnikov The energy of Ginzburg-Landau vortex. European Journal of Applied Mathematics 13, 153-178 (2002)
  93. with A. Soffer, L. Zielinski On the spectral properties of Hamiltonians without conservation of the particle number. J. Math. Phys. 43, 1844-1855 (2002)
  94. with B. Vasilijevic Mathematical theory of tunneling at positive temperatures. Annales de l'Institut Henri Poincaré 3, 1-41 (2002)
  95. with Yu. Ovchinnikov Collapse in the nonlinear Schrödinger equation. JETP 89, 35-40 (2002)
  96. with Yu. Ovchinnikov Collapse in critical nonlinear Schrödinger equation. JETP Letters 75, 357-361 (2002)
  97. with Yu. N. Ovchinnikov Optical bistability. Journal of Experimental and Theoretical Physics 93, 1004-1016 (2001)
  98. Renormalization group approach in spectral analysis and problem of radiation. CMS Notes 33(3), 3-9 (2001)
  99. with S. Gustafson The stability of magnetic vortices. Comm. Math. Phys. 210(2), 257-276 (2000) PDF
  100. with A. Laptev Global Fourier integral operators and semiclassical asymptotics. Reviews in Math. Phys. 12, 749-766 (2000) PDF
  101. with V. Bach, J. Fröhlich Return to equilibrium. J. Math. Phys. 41, 3985-4060 (2000) PDF
  102. with W. Hunziker Quantum many-body problem. J. Math. Phys. 41, 3448-3510 (2000) PDF
  103. with Yu. N. Ovchinnikov Asymptotic behaviour of solutions of Ginzburg-Landau and related equations. Rev. Math. Phys. 12, 287-299 (2000)
  104. with W. Hunziker Time-dependent scattering theory of N-body systems. Rev. Math. Phys. 12(8), 1033-1084 (2000) PDF
  105. Perron-Frobenius theory and symmetry of solutions to nonlinear PDE's. Letters Math Phys. 53(4), 313-320 (2000) PDF
  106. with M. Merkli A time dependent theory of quantum resonance. Comm. Math. Phys. 201(3), 549-576 (1999) PDF
  107. with V. Bach, J. Fröhlich, A. Soffer Positive commutators and spectrum of the radiation Hamiltonian. Comm. Math. Phys. 207, 557-587 (1999) PDF
  108. with W. Hunziker, A. Soffer Minimal escape velocities revisited. Comm. in PDE 24, 2279-2295 (1999)
  109. with V. Bach, J. Fröhlich Mathematical theory of non-relativistic matter and radiation. Comm. Math. Phys. 207(2), 249-290 (1999)
  110. with Yu. N. Ovchinnikov Collapse in the nonlinear Schrödinger equation. J. Exp. Theor. Phys. 89, 35-40 (1999)
  111. with V. Bach, J. Fröhlich Quantum electrodynamics of confined non-relativistic particles. Adv. Math. 137, 205-298 (1998) PDF
  112. with V. Bach, J. Fröhlich The renormalization group approach to spectral problems in QFT. Adv. in Math. 137, 299-395 (1998) PDF
  113. with Yu. N. Ovchinnikov The Landau-Ginzburg equation III. Vortex dynamics. Nonlinearity 11(5), 1277-1294 (1998) PDF
  114. with Yu. N. Ovchinnikov Dynamics of localized structures. Physica A 261, 143-158 (1998) PDF
  115. with Yu. N. Ovchinnikov On the Ginzburg-Landau and related equations. Ecole Polytechnique, Exposé nº XX1, 1-13 (1998)
  116. with Yu. N. Ovchinnikov Long-time behaviour of Ginzburg-Landau vortices. Nonlinearity 11(5), 1295-1309 (1998) PDF
  117. with Yu. N. Ovchinnikov Ginzburg-Landau equation I. Static vortices. Part. Diff. Eqn and their Appl., CRM Proceedings 12, 199-220 (1997) PDF
  118. with R. Pyke Nonlinear wave equations: Constraints on periods and exponential bounds for periodic solutions. Duke Math. J. 88, 133-180 (1997) PDF
  119. with V. Bach, J. Fröhlich Mathematical Theory of Radiation. Foundations of Physics 178, 227-237 (1997) PDF
  120. with R. Pyke Positive commutator methods for nonlinear wave equations. In Partial Differential Equations and their Applications, CRM Proceedings 12, 239-249 (1997)
  121. with P. Hislop Introduction to Spectral Theory with Applications to Schrödinger Operators. Springer-Verlag series of monographs on Applied Mathematical Sciences (1996)
  122. with V. Bach, J. Fröhlich Mathematical theory of non-relativistic matter and radiation. Letters in Math. Phys. 34, 183-201 (1995)
  123. Asymptotic completeness. AMS Transl. 175, 199-206 (1996) PDF
  124. Lectures on large Coulomb systems. In Proceedings of the Vancouver Mathematical Physics Summer School (J. Feldman, R. Froese, L. Rosen, eds), CRM Proceedings and Lecture Notes, v. 7, AMS, 73-107 (1995)
  125. with W. Hunziker On general theory of N-body quantum systems. CRM Proceedings and Lecture Notes, v. 7, AMS, 35-72 (1995)
  126. General characteristics of non-linear dynamics. In Spectral and Scattering Theory (M. Ikawa, ed.), Marcel Dekker, Inc. (1994)
  127. with A. Soffer Asymptotic completeness of N particle long range scattering. Journal of AMS 7, 307-334 (1994) PDF
  128. with A. Soffer Asymptotic completeness for N=4 particle systems with the Coulomb-type interactions. Duke Math. J. 70, 243-298 (1993)
  129. with V. Ivrii Asymptotics of the ground state energies of large Coulomb systems. Annals of Mathematics 138, 243-335 (1993) PDF
  130. Non-Linear wave and Schrödinger equations I, instability of periodic and quasiperiodic solutions. Comm. Math. Phys. 153, 297-320 (1993)
  131. with Yu. N. Ovchinnikov Decay of vortex states in superconductors. Phys. Rev. B. 48, 1085-1096 (1993)
  132. with S. DeBievre, P. Hislop Scattering theory for wave equation on non-compact manifolds. Reviews in Mathematical Physics 4(4), 575-618 (1992)
  133. 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)
  134. with C. Gérard Time-space picture of resonance. Comm. Math. Phys. 145, 281-328 (1992)
  135. with J.-M. Combes Dynamical behaviour of multiple well Schrödinger operators. In Proceedings in Quantum Mechanics, Poiana Brasov, Romania, Springer-Verlag (1991)
  136. with Yu. Ovchinnikov The decay rate of metastable state. J. of Low Temp. Phys. 85, 125-135 (1991)
  137. Mathematical questions of quantum mechanics of many-particle systems. In Proceedings of the ICM, Kyoto 1990, Springer-Verlag (1991)
  138. On long-range scattering. Duke Math. J. 60(2), 473-496 (1990)
  139. with A. Soffer Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. Invent. Math. 99, 115-143 (1990) DOI
  140. Many-body scattering problem. In Proceedings of the Nordic Summer School (H. Holden, A. Jensen, eds), Lecture Notes in Physics, Springer-Verlag (1990)
  141. with L.A. Seco, J.P. Solovej Bound on the ionization energy. Comm. Math. Phys. 131, 307-315 (1990)
  142. Stark effect in multielectron systems: non-existence of bound states. Comm. Math. Phys. 122, 1-22 (1989)
  143. with P. Hislop Shape resonances. A Memoir AMS, 78, N399 (1989)
  144. Geometrical theory of resonances in multi-particle systems. In Proceedings of the IX Congress on Mathematical Physics, B. Simon, A. Truman, I. Davies (eds), Adam Hilger, U.K. (1989)
  145. with A. Soffer Local decay and velocity bounds for time-independent and time-dependent Hamiltonians. Preprint, Princeton (1988)
  146. Lectures on scattering theory. Preprint, Toronto (1988)
  147. Sharp exponential bounds on resonance states and width of resonances. Adv. in Appl. Math. 9, 127-166 (1988)
  148. Life-time of Stark resonances. In Proceedings of Conf. on Field Theory and Related Topics, CMS Conf. Proceedings 9, 233-246 (1988)
  149. Geometrical theory of Stark resonances in multielectron systems. Comm. Math. Phys. 119, 287-314 (1988)
  150. with E. Lieb, S. Simon, W. Thirring Approximate neutrality of large-Z ions. Comm. Math. Phys. 116, 635-649 (1988)
  151. with A. Soffer The N-particle scattering problem: asymptotic completeness for short-range systems. Annal. Math. 125, 35-108 (1987) DOI
  152. with A. Soffer Asymptotic completeness for N-body quantum mechanics. In VIII Int. Congr. on Math. Phys. (M. Mebkhout, R. Seneor, eds), World Scientific Publ. Co. (1987)
  153. with P. Hislop Shape resonances in quantum mechanics. In Diff. Equations and Math. Physics 1986 (Knowles, Saito, eds), Springer Lect. Notes in Math. N1285 (1987)
  154. with A. Soffer Asymptotic completeness of multiparticle scattering. In Differential Equations and Mathematical Physics (I. W. Knowles, Saito, eds), Springer Lect. Notes in Math. N1285 (1987)
  155. Mathematical questions of Quantum many-body theory. Seminaire Eq. Deriv. Part., 1986-1987, Ecole Polytechnique
  156. with A. Soffer Asymptotic completeness of short-range many-body systems. Bull AMS 14, 107-110 (1986)
  157. Analytic properties of the scattering matrix of many particle systems. Int. Eq. Oper. Theory 9, 134-153 (1986)
  158. A generalized Weyl theorem and Lp-spectral of Schrödinger operators. J. Oper. Theory 13, 119-129 (1985)
  159. How many electrons can a nucleus bind? Annals of Phys. 157 (1984)
  160. Asymptotic completeness of many-body short-range systems. Lett. in Math. Phys. 8, 181-188 (1984)
  161. Complex transformation method and resonances in one-body systems. Annal. Inst. H. Poincaré 41, 103-114 (1984). Addendum 41, 333 (1984)
  162. with E. Lieb, B. Simon, W. Thirring Asymptotic bulk neutrality of large Z ions. Phys. Rev. Lett. 52, 994-996 (1984)
  163. Mathematical questions of quantum mechanical many-body scattering theory. Springer Lecture Notes in Math. N1011 (1983)
  164. Geometric parametrices and the many-body Birman-Schwinger principle. Duke Math. J. 50, 517-537 (1983)
  165. Mathematical theory of single-channel systems. Analyticity of scattering matrix. Trans. AMS 270, 409-437 (1982) PDF
  166. 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, 149-156 (1982)
  167. Geometric methods in the quantum many-body problem. Non-existence of very negative ions. Comm. Math. Phys. 85, 309-324 (1982)
  168. 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. 307-329 (1981)
  169. with P. Perry, B. Simon Spectral analysis of N-body Schrödinger operators. Ann. of Math. 114, 519-567 (1981) PDF