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 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

  12. 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

  13. 2001
  14. 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

  15. 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

  16. 2002
  17. 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

  18. 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

  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

    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

  27. 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

  28. 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

  29. 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

  30. 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

  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 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

  35. 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

  36. Published

    The Energy of Charges Matter

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

    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

    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

  40. 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

  41. 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

  42. 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

  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

    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

  46. 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

  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

    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

  61. 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

  62. 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

  63. 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

  64. 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

  65. 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

  66. 2013
  67. Published

    On the minimization of Hamiltonians over pure Gaussian states

    Derezinski, J., Napiorkowski, M. & Solovej, Jan Philip, 2013, Complex Quantum SystemsAnalysis of Large Coulomb Systems. Siedentop, H. (ed.). World Scientific, Vol. 24. (National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series, Vol. 24).

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

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