PUBLICATIONS OF JAN PHILIP SOLOVEJ

http://www.math.ku.dk/bibliography.html
(Papers which do not contain original results, but are reviews or announcements are marked with *. Author ordering is always alphabetical)

  1. Some simple counter examples to the Onsager lemma on metric space, Reports on Math. Phys., 28, 335-338, 1989
    [MathReviews: 92m:82015 ]
     
  2. Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules, Commun. Math. Phys.,129, 561-598, 1990
    [MathReviews: 91b:81191 ]

  3. Asymptotic neutrality of diatomic molecules, Commun. Math. Phys., 130, 185-204, 1990
    [MathReviews: 91f:81256  ]

  4. (With L.A. Seco and I.M. Sigal) Bound on the ionization energy of large atoms, Commun. Math. Phys., 131, 307-315, 1990
    [MathReviews91m:81327 ]

  5. Asymptotics for bosonic atoms, Lett. Math. Phys., 20, 165-172, 1990
    [MathReviews: 91m:81328 ]

  6. (With J.G. Conlon) On asymptotic limits of the quantum Heisenberg model, J. Phys. A, 23, 3199-3213, 1990
    [MathReviews: 91m:82008 ]

  7. Proof of the ionization conjecture in a reduced Hartree-Fock model, Inventiones Math., 104, 291-311, 1991
    [MathReviews: 92f:81238 ]

  8. (With J.G. Conlon) Random walk representations of the Heisenberg model, J. Stat. Phys.,64, 251-270, 1991
    [MathReviews: 92f:82021 ]

  9. (With E.H. Lieb) Quantum coherent operators: A generalization of coherent states, Lett. Math. Phys., 22, 145-154, 1991
    [MathReviews: 92m:81098 ]

  10. (With J.G. Conlon) Uniform convergence of the free energy of the classical Heisenberg model to that of the Gaussian model, J. Stat. Phys., 65, 235-245, 1991
    [MathReviews: 92h:82004 ]

  11. (With J.G. Conlon) Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet, Lett. Math. Phys., 23, 223-231, 1991
    [MathReviews: 93b:82012 ]

  12. (*) Atomic and molecular structure -a renormalized picture-, in Proceedings of the 10th International Congress on Mathematical physics, K. Schmüdgen (Ed.), 153-164, Springer Verlag 1992. (Mainly a review of [7].)
    [MathReviews: MR1386404]

  13. (With M.B. Ruskai) Asymptotic neutrality of polyatomic molecules, Schrödinger Operators, Springer Lecture Notes in Physics 403, E. Balslev (Ed.), 153-174, Springer Verlag 1992  (Not a review, contains original material.)
    [MathReviews: 93i:81305 ]

  14.  (*)
  15.  (*) (With E.H. Lieb and J. Yngvason) Heavy atoms in the strong magnetic field of a neutron star,  Phys. Rev. Lett., 69, 749-752, 1992  (Announcement of [16] and [17])
    [Archive: mp_arc 92-51 ]

  16. (With E.H. Lieb and J. Yngvason) Asymptotics of heavy atoms in high magnetic fields: I. Lowest Landau band regions, Commun. Pure and Appl. Math., 47, 513-591, 1994
    [Archive: mp_arc 92-103 ] [MathReviews: 95f:81102 ]

  17. (With E.H. Lieb and J. Yngvason) Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions, Commun. Math. Phys.,161, 77-124, 1994
    [MathReviews: 95f:81103 ]

  18. (With G.M. Graf) A correlation estimate with applications to quantum systems with Coulomb interactions, Rev. Math. Phys., 6 (No. 5a, Special Issue) 977-997, 1994. Reprinted in The state of matter a volume dedicated to E. H. Lieb, Advanced series in mathematical physics, Vol. 20, M. Aizenman and H. Araki (Eds.), 142-166, World Scientific 1994
    [Archive: mp_arc 93-60 ] [MathReviews: 96b:81138]

  19. (With V. Bach, E.H. Lieb and M. Loss) There are no unfilled shells in unrestricted Hartree-Fock theory, Phys. Rev. Lett., 72, 2981-2983, 1994
    [Archive: cond-mat/ 9307066 ]

  20. (*) Quantum coherent operators, in Proceedings of the International Symposium Coherent States Past, Present, and Future, D.H. Feng, J.R. Klauder, M.R. Strayer (Eds.), 507-513 World Scientific, 1994 (Review of [9].)

  21. (With V. Bach and E.H. Lieb) Generalized Hartree-Fock theory and the Hubbard model, J. Stat. Phys., 76, 3-90, 1994
    [Archive: cond-mat/9312044 ] [MathReviews: 96a:82003 ]

  22. (*) (With E.H. Lieb and J. Yngvason) Quantum dots, in Differential Equations and Mathematical Physics, Proceedings of the International Conference, Univ.of Alabama, Birmingham, March 1994, International Press 1995 (Review of [24].)
    [Archive: cond-mat/9404099 ] [MathReviews: 2000i:81187 ]

  23. An improvement on stability of matter in mean field theory, in Differential Equations and Mathematical Physics, Proceedings of the International Conference, Univ.of Alabama, Birmingham, March 1994, International Press 1995 (Not a review, contains original material.)
    [MathReviews: 2000i:82081 ]

  24.  (With E.H. Lieb and J. Yngvason) Ground states of large quantum dots in magnetic fields, Phys. Rev. B, 51, 10646-10665, 1995,
    [Archive: cond-mat/9502024 ]

  25.  (With E.H. Lieb and M. Loss) Stability of matter in magnetic fields, Phys. Review Lett. 79, Issue 6, 985-989,1995
    [Archive: cond-mat/9506047 ] [MathReviews: 96j:81142 ]

  26. (*) The size of atoms in Hartree-Fock theory,Partial Differential Equations and Mathematical Physics, Progress in Nonlinear Differential Equations and Their Applications, Vol. 21, L. Hörmander and A. Melin (Eds.), 321-332, Birkhäuser, 1996 (Announcement of the result in [33].)
    [MathReviews: 96k:81292 ]

  27. (With W.D. Evans, R. Lewis and H. Siedentop) Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit, Arkiv för Mat. 34 no. 2, 265-283, (1996)
    [MathReviews: 98d:35165 ]

  28. (*) Mathematical results on the structure of large atoms, European Congress of Mathematics, Vol. II (Budapest, 1996), 211--220, Progr. Math., 169, Birkhäuser, Basel, 1998.
    [MathReviews: 99h:81232 ]

  29. (With L. Erdös) Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong non-homogeneous magnetic fields. I. Non-asymptotic Lieb-Thirring type estimates.  Duke. Math. Jour. 96,127-173 (1999)
    [Archive: mp_arc 96-403 ] [MathReviews: 2001b:81027 ]

  30. (With L. Erdös) Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong non-homogeneous magnetic fields. II. Leading order asymptotic estimates , Commun. Math. Phys. 188, 599-656, 1997
    [Archive: mp_arc 96-404 ] [MathReviews:  2001b:81028 ]

  31. (With E.H. Lieb and H. Siedentop) Stability and instability of relativistic electrons in classical electromagnetic fields. Jour. Stat. Phys. 89, 37-59, 1997
    [Archive: cond-mat/9610195 ] [MathReviews: 98m:81216 ]

  32. (*) (With E.H. Lieb and H. Siedentop) Stability of relativistic matter with magnetic fields, Phys. Review Lett. 79, Issue 10,  1785-1788 1997. (Announcement of the result in [31].)
    [Archive: cond-mat/9709171 ] [MathReviews98i:81279 ]

  33. The ionization conjecture in Hartree-Fock theory, Annals of Mathematics, 158 509-576, (2003).
    [Archivemath-ph/0012026 ] [MathReviews: MR2018928 ]

  34. (With P. Balodis Matesanz) On the asymptotic exactness of Thomas-Fermi theory in the thermodynamic limit, Ann. Henri Poincare 1 (2000), 281-306
    [Archivemp_arc 98-644 ] [MathReviews: 2001h:81284 ]

  35. (*) (With L. Erdös) On the kernel of Spinc Dirac operators on S3 and R3, in Proceedings of the 1999 international conference on partial differential equations and mathematical physics held at the University of Alabama Birmingham. AMS Studies in Advanced Mathematics, Weikard and Weinstein (Eds.). (Review of result in [37].)
    [MathReviews: 2001f:58069 ]

  36. (With B. Baumgartner and J. Yngvason) Atoms in strong magnetic fields: The high field limit at fixed nuclear charge, Commun. Math. Phys. ,212, 703--724, (2000)
    [Archive: math-ph/9911025 ] [MathReviews: 2002e:81252 ]

  37. (With L. Erdös) The kernel of Dirac operators on S3 and R3. Rev. Math. Phys. 13 no. 10, 1247-1280, (2001)
    [Archive: math-ph/0001036 [MathReviews: 2003a:58056 ] 

  38. (With E.H. Lieb) Ground State Energy of the One-Component Charged Bose Gas,  Commun. Math. Phys. 217 Issue 1 (2001) pp 127-163 (Erratum: Commun. Math. Phys. 225, (2002) pp 219-221 )
    [Archivecond-mat/0007425  [MathReviews: 2002c:82008 and 2002k:82012 ]

  39. (*) The evolution of Fermi's statistical theory of atoms, in  Proceedings of the International Conference Enrico Fermi and the Universe of Physics, Rome Sept. 29-Oct. 2, 2001, Accademia Nazionale dei Lincei. On the occasion of the centennial of the Birth of Enrico Fermi. ISBN 88-8286-032-9 (2003)

  40. (*) (With Elliott H. Lieb, Robert Seiringer, and J. Yngvason) The Ground State of the Bose Gas, Current Developments in Mathematics, 2001, International Press (Contains among other things a review of the result in [38])
    [Archive: math-ph/0204027 [MathReviewsMR1971379 ] 

  41. (*) (With W. Spitzer) New coherent states and a new proof of the Scott correction, In Proceedings of the 2002 international conference on partial differential equations and mathematical physics held at the University of Alabama Birmingham. AMS Contemporary Mathematics series. (Review of [42].)
    [Archive: math-ph/0210009 [MathReviews2004f:81259 ] 
     
  42. (With W. Spitzer) A new coherent states approach to semiclassics which gives Scott's correction, Commun. Math. Phys. 241, 383 - 420, (2003) 
    [Archive: math-ph/0208044 [MathReviewsMR2013804 ] 
     
  43. (With L. Erdös) Uniform Lieb-Thirring inequality for the three dimensional Pauli operator with a strong non-homogeneous magnetic field. Ann. Henri Poincare 5 (2004), no. 4, 671-741.
    [Archivemath-ph/0304017 ] [MathReviewsMR2090449 ] 
     
  44. (With L. Erdös)  Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength. Jour. Stat. Phys., 116 (1-4): 475-506, August 2004
    [Archivemath-ph/0306066 ] [MathReviewsMR2083151 ] 
     
  45. (With E.H. Lieb) Ground State Energy of the Two-Component Charged Bose Gas. Commun. Math. Phys. 252, 485 - 534, (2004)
    [Archive: math-ph/0311010 ]
     
  46. (With  Michael Aizenman, Elliott H. LiebRobert Seiringer, and J. Yngvason) Bose-Einstein Quantum Phase Transition in an Optical Lattice Model, Phys. Rev. A, 70, 023612-(1-12) (2004),
    [Archive:  cond-mat/0403240 ]
     
  47. (*) The Energy of Charged Matter, in the proceedings of the 14th International Congress on Mathematical Physics, Lisbon 2003. Ed. J.C. Zambrini, World Scientific 2005, p. 113-129. (Mainly a review of [45] and [49].)
    [Archive: math-ph/0404039  ]
     
  48. (*) (With  Elliott H. LiebRobert Seiringer, and J. Yngvason ) The Quantum-mechanical Many Body Problem: The Bose Gas, In Mathematical Physics Studies Vol. 27, Perspectives in Analysis Essays in Honor of Lennart Carleson's 75th Birthday, Michael Benedicks, Peter W. Jones, Stanislav Smirnov (Eds.), p. 97-184 Springer Verlag Berlin Heidelberg 2005 ISBN 3-540-30432-0 (Contains among many other things reviews of [38], [45] and  [49] .)
    [Archive: math-ph/0405004  ]
     
  49. Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases, Commun. Math. Phys. 266, Number 3, 797-818 2006
    [Archive: math-ph/0406014  ]
     
  50. (With L. Erdös and David Hasler) Existence of the D0-D4 Bound State: a detailed Proof, Ann. Henri Poincare 6, 247-267, 2005
    [Archive: math-ph/0407020  ]
     
  51. (With David Hasler) The Independence on Boundary Conditions for the Thermodynamic Limit of Charged Systems, Commun. Math. Phys. 261, 549 - 568, 2006
    [Archive: math-ph/0411069  ]
     
  52. (*) (With  Michael Aizenman, Elliott H. LiebRobert Seiringer, and J. Yngvason) Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice, p. 199-215 in Mathematical Physics of Quantum Mechanics Lecture notes in physics, eds. J. Asch and Alain Joye, Springer 2006. Proceedings of QMath9, Giens, France, Sept. 12--16, 2004 (Review of [46 ].)
    [Archive: cond-mat/0412034  ]
     
  53. (*) (Edited with  B. Nachtergaele and J. Yngvason) Condensed Matter Physics and Exactly Soluble Models. Selecta of Elliott H. Lieb. Springer Verlag 2004, ISBN: 3-540-22298-7
     
  54. (*) (Edited with  B. Nachtergaele and J. Yngvason) Statistical Mechanics. Selecta of Elliott H. Lieb. Springer Verlag 2004, ISBN: 3-540-22297-9
     
  55. (With Elliott H. Lieb and Robert Seiringer) Ground State Energy of the Low Density Fermi Gas. Phys. Rev. A 71, 053605, 2005
    [Archive: math-ph/0412080  ]
     
  56. (*) Mathematical Problems of Large Quantum Systems, in proceedings of 4th European Congress of Mathematics, Stockholm, June 27-July 2, 2004, Ed. A. Laptev, European Mathematical Society, 2005 (p. 669-680)
     
  57. (*) Stability of Matter, Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006 (ISBN 978-0-1251-2666-3), volume 5 pages 8--14.
     
  58. (With Christian Hainzl and Mathieu Lewin) The Mean-Field Approximation in Quantum Electrodynamics. The no-photon case. Comm. Pure and Applied Math. Vol. LX, 546-596 (2007)
    [Archive: math-ph/0503075  ]
     
  59. (*) (With  Elliott H. LiebRobert Seiringer, and J. Yngvason) The Mathematics of the Bose Gas and its Condensation. Series: Oberwolfach Seminars, Vol. 34, 2005, VIII, 208 p., ISBN: 3-7643-7336-9. A Birkhäuser textbook.
     
  60. (*) (With Elliott H. Lieb and Robert Seiringer) Ground-State Energy of a Dilute Fermi Gas, in Recent Advances in Differential Equations and Mathematical Physics proceedings of a conference at the Univ. of Birmingham, 2005, Amer. Math. Soc. Contemporary Math. series, N. Chernov, Y. Karpeshina, I. Knowles, R. Lewis, R. Weikard eds., 412, 239-248, 2006. (Review of [55])
    [Archive: math-ph/0507049  ]
     
  61.  (With Christian Hainzl, Eman Hamza, and Robert Seiringer) The BCS Model for General Pair Interactions, Commun. Math. Phys. 281, 349-367, 2008
    [Archive: math-ph/0703086  ]
     
  62. (*) (With Christian Hainzl, Mathieu Lewin, and E. Sere), A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics. Phys. Rev. A 76, 052104 (2007). (Containing a review of [58])
    [Archive: math-ph/0706.1486  ]
     
  63.  (With Christian Hainzl and Mathieu Lewin),The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory. Advances in Mathematics 221 (2009) 454-487
    [Archive: math-ph/0806.1708  ]
     
  64.  (With Christian Hainzl and Mathieu Lewin), The Thermodynamic Limit of Quantum Coulomb Systems. Part II. Applications. Advances in Mathematics 221 (2009) 488-546
    [Archive: math-ph/0806.1709  ]
     
  65.  (With  W.L. Spitzer and T. Ø. Sørensen), Relativistic Scott correction for atoms and molecules. Comm. Pure and Applied Math. 63 Issue 1, 39 - 118 (2010)
    [Archive: arXiv:0808.2163  ]
     
  66.  (With  L. Erdös), Ground state energy of large atoms in a self-generated magnetic field. Commun. Math. Phys., 294 No. 1, 229-249 (2010)
    [Archive: arXiv:0903.1816   ]
     
  67.  (With  Anna Dall'Acqua), Excess charge for pseudo-relativistic atoms in Hartree-Fock theory. Documenta Mathematica, 15 285 - 345 (2010)
    [Archive: arXiv:1001.5417v1  ]
     
  68. (*) Quantum Coulomb Gases, in Quantum Many Body Systems, Springer Lecture Notes in Mathematics, Vol. 2051, C.I.M.E. Foundation Subseries. Eds. Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason, pp 93-124, 2012
    [Archive: arXiv:1012.5178  ]
     
  69.  (With  Natalie Gilka and Peter R. Taylor), On the behaviour of the Hartree-Fock energy at short internuclear distances, International Journal of Quantum Chemistry, Volume 111, Issue 13, pages 3324-3328, 2011.
     
  70.  (With Jan Dereziński and Marcin Napiórkowski), On the minimization of Hamiltonians over pure Gaussian states, in Complex Quantum Systems, Analysis of Large Coulomb Systems Institute for Mathematical Sciences (NUS) Lecture Notes Series, Volume 24 Ed. Heinz Siedentop, 2013, World Scientific Publishing
    [Archive: arXiv:1102.2931  ]
     
  71.  (With  Rupert L. Frank, Christian Hainzl, Robert Seiringer), Microscopic Derivation of Ginzburg-Landau Theory. Jour. AMS, 25, 667-713, 2012
    [Archive: arXiv:1102.4001   ]
     
  72.  (With  Phan Thanh Nam and Fabian Portmann), Asymptotics for Two-dimensional Atoms. Ann. Henri Poincare. 13, 333-362 (2012) doi: 10.1007/s00023-011-0123-2
    [Archive: arXiv:1102.4229   ]
     
  73.  (With  Rupert L. Frank, Christian Hainzl, Robert Seiringer), Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction, Operator Methods in Mathematical Physics. Operator Theory: Advances and Applications, 227, 2013, 57-88
    [Archive: arXiv:1103.1866   ]
     
  74.  (With  L. Erdös, S. Fournais), Stability and semiclassics in self-generated fields, J. Eur. Math. Soc. (JEMS), 15 (2013), no. 6, 2093-2113
    [Archive: arXiv:1105.0506   ]
     
  75.  (With  L. Erdös, S. Fournais), Second order semiclassics with self-generated magnetic fields. Ann. Henri Poincare, 13, 671-730, 2012 doi:10.1007/s00023-011-0150-z
    [Archive: arXiv:1105.0512   ]
     
  76.  (With  L. Erdös, S. Fournais), Scott correction for large atoms and molecules in a self-generated magnetic field. Commun. Math. Phys. , 25, 847-882, 2012 (DOI) 10.1007/s00220-012-1468-1
    [Archive: arXiv:1105.0521   ]
     
  77.  (With  D. Lundholm) Hardy and Lieb-Thirring inequalities for anyons, Comm. Math. Phys., 322 (2013), no. 3, 883-908.
    [Archive: arXiv:1108.5129   ]
     
  78. (*) Book review of Stability of Matter in Quantum Mechanics, by Elliott H. Lieb and Robert Seiringer, Bull. AMS, 50, (2013), 169-174, DOI: 10.1090/S0273-0979-2011-01366-0
    [Archive: arXiv:1111.0170   ]
     
  79.  (With  L. Erdös, S. Fournais), Relativistic Scott correction in self-generated magnetic fields. Jour. Math. Phys., 53, 2012, DOI:10.1063/1.3697417
    [Archive: arXiv:1112.0673   ]
     
  80. (*) Thomas Fermi type theories (and their relation to exact models). In Encyclopedia of Applied and Computational Mathematics, Eds. B. Engquist, Springer-Verlag Berlin Heidelberg, 2015, Pages 1471-1475, ISBN: 978-3-540-70528-4
     
  81.  (With Elliott H. Lieb) Proof of an entropy conjecture for Bloch coherent spin states and its generalizations. Acta Math. 212, 379-398, 2014.
    [Archive: arXiv:1208.3632   ]
     
  82. (*) (With  Rupert L. Frank, Christian Hainzl, Robert Seiringer) Microscopic Derivation of the Ginzburg-Landau Model. In Proceedings of the XVIIth International Congress on Mathematical Physics, Ed. Arne Jensen, World Scientific 2013. (Review of [71])
    [Archive: arXiv:1209.1080   ]
     
  83.  (With  M. Lewin, P.T. Nam, and S. Serfaty) Bogoliubov spectrum of interacting Bose gases. Comm. Pure and Applied Math., 68, 3, 413-471, 2015, doi: 10.1002/cpa.21519
    [Archive: arXiv:1211.2778   ]
     
  84.  (With  D. Lundholm) Local exclusion for intermediate and fractional statistics. Ann. Henri Poincare, 15 no. 6, 10611107, 2014
    [Archive: arXiv:1301.3436   ]
     
  85.  (With  D. Lundholm) Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics Phys. Rev. A. 88, 6, Article Number: 062106, 2013
    [Archive: arXiv:1205.2520   ]
     
  86.  (With  K. Petersen) Existence of Travelling Wave Solutions to the Maxwell-Pauli and Maxwell-Schrödinger Systems Preprint.
    [Archive: arXiv:1402.3936   ]
     
  87.  (With  D. Lundholm and F. Portmann) Lieb-Thirring Bounds for Interacting Bose Gases. Commun. Math. Phys., 335, 2, 1019-1056, 2015
    [Archive: arXiv:1402.4463   ]
     
  88.  (With  Rupert L. Frank, Christian Hainzl, Robert Seiringer) The external field dependence of the BCS critical temperature. To appear in Commun. Math. Phys.
    [Archive: arXiv:1410.2352   ]
     
  89.  (With  Marcin Napiórkowski and Phan Thanh Nam), Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations. To appear in Jour. Func. Analysis.
    [Archive: arXiv:1508.07321   ]
     
  90.  (With Elliott H. Lieb) Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States. To appear in Commun. Math. Phys.
    [Archive: arXiv:1506.07633   ]
     
  91.  (With Mathieu Lewin and Søren Fournais) The semi-classical limit of large fermionic systems, Preprint , 2015.
    [Archive: arXiv:1510.01124   ]
     
  92.   A new look at Thomas-Fermi theory. Molecular Physics DOI: 10.1080/00268976.2015.1130273, 2015.
    [Archive: arXiv:1601.00497   ]
     
  93.  (With  Marcin Napiórkowski and Robin Reuvers) The Bogoliubov free energy functional I. Existence of minimizers and phase diagram.
    [Archive: arXiv:1511.05935   ]
     
  94.  (With  Marcin Napiórkowski and Robin Reuvers) The Bogoliubov free energy functional II. The dilute limit.
    [Archive: arXiv:1511.05953   ]