Jan Philip Solovej

Jan Philip Solovej

Professor

ORCID: 0000-0002-0244-1497

Publication year:
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1 - 50 out of 86Page size: 50
  1. 1997
  2. Published

    Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields. II. Leading order asymptotic estimates

    Solovej, Jan Philip & Erdös, L., 1997, In: Communications in Mathematical Physics. 188, p. 599-656

    Research output: Contribution to journal › Journal article › Research › peer-review

  3. Published

    Stability and instability of relativistic electrons in classical electromagnetic fields

    Solovej, Jan Philip, Lieb, E. H. & Siedentop, H., 1997, In: Journal of Statistical Physics. 89, p. 37-59

    Research output: Contribution to journal › Journal article › Research › peer-review

  4. Published

    Stability of relativistic matter with magnetic fields

    Solovej, Jan Philip, Lieb, E. H. & Siedentop, H., 1997, In: Physical Review Letters. 79, p. 1785-1788

    Research output: Contribution to journal › Journal article › Research › peer-review

  5. 1998
  6. Published

    Mathematical results on the structure of large atoms

    Solovej, Jan Philip, 1998, European Congress of Mathematics, Vol. II (Budapest 1996). Basel: Birkhäuser Verlag, p. 211-220

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  7. 1999
  8. Published

    Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring-type estimate

    Erdös, L. & Solovej, Jan Philip, 1999, In: Duke Mathematical Journal. 96, 1, p. 127-173

    Research output: Contribution to journal › Journal article › Research › peer-review

  9. 2000
  10. Published

    Atoms in strong magnetic fields: The high field limit at fixed nuclear charge

    Baumgartner, B., Solovej, Jan Philip & Yngvason, J., 2000, In: Communications in Mathematical Physics. 212, p. 703-724

    Research output: Contribution to journal › Journal article › Research › peer-review

  11. Published

    On the Asymptotic Exactness of Thomas-Fermi Theory in the Thermodynamic Limit

    Matesanz, P. B. & Solovej, Jan Philip, 2000, In: Annales de l'Institute Henri Poincare. Physique theorique. 1, 2, p. 281-306

    Research output: Contribution to journal › Journal article › Research › peer-review

  12. Published

    On the kernel of SpinC Dirac operators on S3 and R3

    Erdös, L. & Solovej, Jan Philip, 2000, Differential equations and mathematical physics,: AMS/IP Stud. Adv. Math.. Weikard, R. & Weinstein, G. (eds.). International Press, Vol. 16. p. 111-119

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  13. 2001
  14. Published

    Ground State Energy of the One Component Charged Bose Gas

    Lieb, E. H. & Solovej, Jan Philip, 2001, In: Communications in Mathematical Physics. 217, p. 127-163

    Research output: Contribution to journal › Journal article › Research › peer-review

  15. Published

    The kernel of Dirac operators on S3 and R3

    Erdös, L. & Solovej, Jan Philip, 2001, In: Reviews in Mathematical Physics. 13, p. 1247-1280

    Research output: Contribution to journal › Journal article › Research › peer-review

  16. 2002
  17. Published

    Supplement 2002 Matematik 1GB

    Solovej, Jan Philip, 2002, Supplement 2002 Matematik 1GB. Universitetsbogladen, p. 110

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education

  18. Published

    The Ground State of the Bose Gas

    Lieb, E. H., Seiringer, R., Solovej, Jan Philip & Yngvason, J., 2002, Current developments in mathematics. International Press, p. 131-178

    Research output: Chapter in Book/Report/Conference proceeding › Report chapter › Research

  19. 2003
  20. Published

    A new coherent states approach to semiclasses which gives Scott's correction

    Solovej, Jan Philip & Spitzer, W. L., 2003, In: Communications in Mathematical Physics. 241, p. 383-420

    Research output: Contribution to journal › Journal article › Research › peer-review

  21. Published

    New coherent states and a new proof of the Scott correction

    Solovej, Jan Philip & Spitzer, W. L., 2003, Advances in differential equations and mathematical physics : Contemp. Math.. Providence, R.I.: American Mathematical Society, Vol. 327. p. 305-319

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  22. Published

    The Ionization Conjecture in Hartree-Fock Theory

    Solovej, Jan Philip, 2003, In: Annals of Mathematics. 158, p. 509-576

    Research output: Contribution to journal › Journal article › Research › peer-review

  23. Published

    The evolution of Fermi's statistical theory of atoms

    Solovej, Jan Philip, 2003, Enrico Fermi and the Universe of Physics: On the occasion of the centennial of the Birth of Enrico Fermi. Rome, Italy: Accademia Nazionale dei Lincei, p. 97-104

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  24. 2004
  25. Published

    Bose-Einstein Quantum Phase Transition in an Optical Lattice Model

    Aizenman, M., Lieb, E. H., Seiringer, R., Solovej, Jan Philip & Yngvason, J., 2004, In: Physical Review A (Atomic, Molecular and Optical Physics). 70, p. 023612-(1-12)

    Research output: Contribution to journal › Journal article › Research › peer-review

  26. Published

    Condensed Matter Physics and Exactly Soluble Models Selecta of Elliott H. Lieb

    Nachtergaele, B., Solovej, Jan Philip & Yngvason, J., 2004, Springer.

    Research output: Book/Report › Book › Research

  27. Published

    Ground State Energy of the Two-Component Charges Bose Gas

    Lieb, E. H. & Solovej, Jan Philip, 2004, In: Communications in Mathematical Physics. 252, p. 485-534

    Research output: Contribution to journal › Journal article › Research › peer-review

  28. Published

    Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength

    Erdos, L. & Solovej, Jan Philip, 2004, In: Journal of Statistical Physics. 116, 1-4, p. 475-506

    Research output: Contribution to journal › Journal article › Research › peer-review

  29. Published

    Statistical Mechanics. Selecta of Eliott H. Lieb

    Nachtergaele, B., Solovej, Jan Philip & Yngvason, J., 2004, Springer.

    Research output: Book/Report › Book › Research › peer-review

  30. Published

    Uniform Lieb-Thirring inequality for the three dimensional Pauli operator with a strong non-homogeneous magnetic field

    Erdös, L. & Solovej, Jan Philip, 2004, In: Annales Henri Poincare. 5, 4, p. 671-741

    Research output: Contribution to journal › Journal article › Research › peer-review

  31. 2005
  32. Published

    Existence of the D0-D4 Bound State: a detailed Proof

    Erdos, L., Hasler, D. & Solovej, Jan Philip, 2005, In: Annales de l'Institute Henri Poincare. Physique theorique. 6, 2, p. 247-267

    Research output: Contribution to journal › Journal article › Research › peer-review

  33. Published

    Ground State Energy of the Low Density Fermi Gas

    Lieb, E. H., Seiringer, R. & Solovej, Jan Philip, 2005, In: Physical Review A (Atomic, Molecular and Optical Physics). 71, p. 053605

    Research output: Contribution to journal › Journal article › Research › peer-review

  34. Published

    The Energy of Charges Matter

    Solovej, Jan Philip, 2005, Singapore: World Scientific.

    Research output: Book/Report › Book › Research › peer-review

  35. Published

    The Mathematics of the Bose Gas and its Condensation: Series: Oberwolfach Seminars

    Lieb, E. H., Seiringer, R., Solovej, Jan Philip & Yngvason, J., 2005, Birkhäuser Verlag.

    Research output: Book/Report › Book › Research › peer-review

  36. Published

    The Quantum-mechanical Many Body Problem: The Bose Gas

    Lieb, E. H., Seiringer, R., Solovej, Jan Philip & Yngvason, J., 2005, Springer.

    Research output: Book/Report › Book › Research › peer-review

  37. 2006
  38. Published

    Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice

    Aizenmann, M., Lieb, E. H., Seiringer, R., Solovej, Jan Philip & Yngvason, J., 2006, Mathematical Physics of Quantum Mechanics: Selected and Refereed Lectures from QMath9. Asch, J. & Joye, A. (eds.). Springer, p. 199-215 (Lecture Notes in Physics).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  39. Published

    Ground-State Energy of a Dilute Fermi Gas

    Lieb, E. H., Seiringer, R. & Solovej, Jan Philip, 2006, USA: American Mathematical Society.

    Research output: Book/Report › Book › Research

  40. Published

    Mathematical Problems of Large Quantum Systems

    Solovej, Jan Philip, 2006, proceedings of 4th European Congress of Mathematics, Stockholm, June 27-July 2, 2004. Laptev, A. (ed.). European Mathematical Society, p. 669-680

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  41. Published

    Stability of Matter

    Solovej, Jan Philip, 2006, Encyclopedia of Mathematical Physics. Francoise, J. P., Naber, G. L. & Tsou, S. T. (eds.). Oxford: Elsevier, Vol. 5. p. 8-14

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  42. Published

    The Independence on Boundary Conditions for the Thermodynamic Limit of Charged Systems

    Hasler, D. & Solovej, Jan Philip, 2006, In: Communications in Mathematical Physics. 261, p. 549-568

    Research output: Contribution to journal › Journal article › Research › peer-review

  43. Published

    Upper Bounds to the Ground State Energies of the One- and Two-Component Charges Bose Gases

    Solovej, Jan Philip, 2006, In: Communications in Mathematical Physics. 266, 3, p. 797-818

    Research output: Contribution to journal › Journal article › Research › peer-review

  44. 2007
  45. Published

    The Mean-Field Approximation in Quantum Electrodynamics. The no-photon case.

    Solovej, Jan Philip, Hainzl, C. & Lewin, M., 2007, In: Communications on Pure and Applied Mathematics. LX, p. 546-596

    Research output: Contribution to journal › Journal article › Research › peer-review

  46. Published

    A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics

    Solovej, Jan Philip, Hainzl, C., Lewin, M. & Sere, E., 7 Nov 2007, In: Physical Review A (Atomic, Molecular and Optical Physics). 76, p. 052104-1-11 11 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  47. 2008
  48. Published

    The BCS Model for General Pair Interaction

    Hainzl, C., Hamza, E., Seiringer, R. & Solovej, Jan Philip, 2 Jun 2008, In: Communications in Mathematical Physics. 281, 2, p. 349-367

    Research output: Contribution to journal › Journal article › Research › peer-review

  49. 2009
  50. Published

    The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory.

    Hainzl, C., Lewin, M. & Solovej, Jan Philip, 2009, In: Advances in Mathematics. 221, p. 454-487

    Research output: Contribution to journal › Journal article › Research › peer-review

  51. Published

    The Thermodynamic Limit of Quantum Coulomb Systems. Part II. Applications.

    Hainzl, C., Lewin, M. & Solovej, Jan Philip, 2009, In: Advances in Mathematics. 221, p. 488-546

    Research output: Contribution to journal › Journal article › Research › peer-review

  52. 2010
  53. Published

    Excess Charge for Pseudo-relativistic Atoms in Hartree-Fock Theory

    Dall'Acqua, A. & Solovej, Jan Philip, 2010, In: Documenta Mathematica. 15, p. 285-345

    Research output: Contribution to journal › Journal article › Research › peer-review

  54. Published

    Ground state energy of large atoms in a self-generated magnetic field

    Erdos, L. & Solovej, Jan Philip, 2010, In: Communications in Mathematical Physics. 294, 1, p. 229-249

    Research output: Contribution to journal › Journal article › Research › peer-review

  55. Published

    The relativistic Scott correction for atoms and molecules

    Solovej, Jan Philip, Sørensen, T. Ø. & Spitzer, W. L., 2010, In: Communications on Pure and Applied Mathematics. 63, 1, p. 39-118

    Research output: Contribution to journal › Journal article › Research › peer-review

  56. 2011
  57. Published

    On the behaviour of the Hartree-Fock energy at short internuclear distances

    Gilka, N., Solovej, Jan Philip & Taylor, P. R., 2011, In: International Journal of Quantum Chemistry. 111, 13, p. 3324-3328

    Research output: Contribution to journal › Journal article › Research › peer-review

  58. Published

    Using CAS based work to ease the transition from calculus to real analysis

    Gyöngyösi, E., Solovej, Jan Philip & Winsløw, Carl, 2011, CERME 7: Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education, Rzeszów, Poland, 9th-13th February 2011. Pytlak, M., Swoboda, E. & Rowland, T. (eds.). European Society for Research in Mathematics Education , p. 2002-2011 (Proceedings: Conference for European Research in Mathematics Education).

    Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

  59. 2012
  60. Published

    Asymptotics for Two-dimensional Atoms

    Nam, P. T., Portmann, F. & Solovej, Jan Philip, 2012, In: Annales Henri Poincare. 13, 2, p. 333-362 30 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  61. Published

    Microscopic Derivation of Ginzburg-Landau Theory

    Frank, R., Hainzl, C., Seiringer, R. & Solovej, Jan Philip, 2012, In: Journal of the American Mathematical Society. 25, 3, p. 667-713 47 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  62. Published

    Quantum Coulomb Gases

    Solovej, Jan Philip, 2012, Quantum Many Body Systems: Lecture Notes in Mathematics C.I.M.E. Foundation subseries. Giuliani, A., Mastropietro, V. & Yngvason, J. (eds.). Springer, Vol. 2051. p. 93-124 31 p.

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

  63. Published

    Relativistic Scott correction in self-generated magnetic fields.

    Erdos, L., Fournais, S. & Solovej, Jan Philip, 2012, In: Journal of Mathematical Physics. 53, 9, p. 095202 26 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  64. Published

    Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field

    Erdös, L., Fournais, S. & Solovej, Jan Philip, 2012, In: Communications in Mathematical Physics. 312, 3, p. 847-882 36 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  65. Published

    Second order semiclassics with self-generated magnetic fields

    Erdös, L., Fournais, S. & Solovej, Jan Philip, 2012, In: Annales Henri Poincare. 13, 4, p. 671-713 43 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  66. 2013
  67. Published

    Book review: "The stability of matter in quantum mechanics", by Elliott H. Lieb and Robert Seiringer, Cambridge University Press, Cambridge, 2010, xv+293 pp., ISBN 978-0-521-19118-0

    Solovej, Jan Philip, 2013, In: Bulletin of the American Mathematical Society. 50, 1, p. 169-174 6 p.

    Research output: Contribution to journal › Journal article › Research

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