Jan Philip Solovej

Jan Philip Solovej

Professor


  1. 2024
  2. Published

    Preface to the Special Collection in Honor of Freeman Dyson

    Benguria, R., Solovej, Jan Philip & Zirnbauer, M., 2024, In: Journal of Mathematical Physics. 65, 2, 3 p., 020401.

    Research output: Contribution to journalEditorialResearchpeer-review

  3. 2023
  4. Published

    A simple approach to Lieb–Thirring type inequalities

    Seiringer, R. & Solovej, Jan Philip, 2023, In: Journal of Functional Analysis. 285, 10, 110129.

    Research output: Contribution to journalJournal articleResearchpeer-review

  5. Published

    The energy of dilute Bose gases II: the general case

    Fournais, Søren & Solovej, Jan Philip, 2023, In: Inventiones Mathematicae. 232, p. 863–994

    Research output: Contribution to journalJournal articleResearchpeer-review

  6. 2022
  7. Published

    Ground state energy of dilute Bose gases in 1D

    Agerskov, Johannes, Reuvers, R. & Solovej, Jan Philip, 2022, arXiv:2203.17183 ed., arxiv.org, 36 p. (arXiv).

    Research output: Working paperPreprintResearch

  8. Published

    Upper bound on the ground state energy of the two-component charged Bose gas with arbitrary masses.

    Solovej, Jan Philip & Schön, A., 2022, The physics and mathematics of Elliott Lieb. : The 90th Anniversary. Frank, R. L., Laptev, A., Lewin, M. & Seiringer, R. (eds.). European Mathematical Society Publishing House, Vol. 2. p. 307–327

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  9. 2021
  10. Published

    Wehrl-type coherent state entropy inequalities for SU (1,1) and its AX + B subgroup

    Lieb, E. & Solovej, Jan Philip, 15 Jun 2021, Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume. Exner, P., Frank, R., Gesztesy, F., Holden, H. & Weidl, T. (eds.). European Mathematical Society Publishing House, p. 301-314

    Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review

  11. 2020
  12. Published

    The energy of dilute Bose gases

    Fournais, Søren & Solovej, Jan Philip, Nov 2020, In: Annals of Mathematics. 192, 3, p. 893-976

    Research output: Contribution to journalJournal articleResearchpeer-review

  13. Published

    Friedrichs Extension and Min–Max Principle for Operators with a Gap

    Schimmer, L., Solovej, Jan Philip & Tokus, S., 1 Feb 2020, In: Annales Henri Poincare. 21, 2, p. 327-357

    Research output: Contribution to journalJournal articleResearchpeer-review

  14. Published

    A Simple 2nd Order Lower Bound to the Energy of Dilute Bose Gases

    Brietzke, B., Fournais, S. & Solovej, Jan Philip, 2020, In: Communications in Mathematical Physics. 376, p. 323–351

    Research output: Contribution to journalJournal articleResearchpeer-review

  15. Published

    Spectral Flow for Dirac Operators with Magnetic Links

    Portmann, F., Sok, J. & Solovej, Jan Philip, 2020, In: Journal of Geometric Analysis. 30, 1, p. 1100-1167

    Research output: Contribution to journalJournal articleResearchpeer-review

  16. Published

    The Second-Order Correction to the Ground State Energy of the Dilute Bose Gas

    Brietzke, B. & Solovej, Jan Philip, 2020, In: Annales Henri Poincare. 21, 2, p. 571-626

    Research output: Contribution to journalJournal articleResearchpeer-review

  17. 2019
  18. Published

    Leading JMP into the Future

    Solovej, Jan Philip, 1 Jan 2019, In: Journal of Mathematical Physics. 60, 1, 2 p., 010401.

    Research output: Contribution to journalEditorialResearch

  19. Published

    Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

    Fournais, S., Napiórkowski, M., Reuvers, R. & Solovej, Jan Philip, 2019, In: Journal of Mathematical Physics. 60, 7, 17 p., 071903.

    Research output: Contribution to journalJournal articleResearchpeer-review

  20. 2018
  21. Published

    The Dirac–Frenkel Principle for Reduced Density Matrices, and the Bogoliubov–de Gennes Equations

    Benedikter, N., Sok, J. & Solovej, Jan Philip, 1 Apr 2018, In: Annales Henri Poincare. 19, 4, p. 1167–1214

    Research output: Contribution to journalJournal articleResearchpeer-review

  22. Published

    The Bogoliubov free energy functional I: Existence of minimizers and phase diagram

    Napiórkowski, M., Reuvers, R. & Solovej, Jan Philip, 4 Mar 2018, In: Archive for Rational Mechanics and Analysis. 229, 3, p. 1037–1090 54 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  23. Published

    Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation

    Napiórkowski, M., Reuvers, R. & Solovej, Jan Philip, 1 Jan 2018, In: EPL. 121, 6 p., 10007.

    Research output: Contribution to journalJournal articleResearchpeer-review

  24. Published

    Analysis of zero modes for Dirac operators with magnetic links

    Portmann, F., Sok, J. & Solovej, Jan Philip, 2018, In: Journal of Functional Analysis. 275, 3, p. 604-659

    Research output: Contribution to journalJournal articleResearchpeer-review

  25. Published

    Gymnasielærerens guide til kvanteuniverset

    Werner, Albert H., Lucia, A., Solovej, Jan Philip, Borregaard, J., Mancinska, Laura, Steenstrup, M. P. H. & Jonsson, R., 2018, In: LMFK-Bladet. 2018, 3, p. 36-42

    Research output: Contribution to journalJournal articleCommunication

  26. Published

    Self-adjointness and spectral properties of Dirac operators with magnetic links

    Portmann, F., Sok, J. & Solovej, Jan Philip, 2018, In: Journal de Mathematiques Pures et Appliquees. 119, p. 114-157

    Research output: Contribution to journalJournal articleResearchpeer-review

  27. Published

    The Bogoliubov free energy functional II: The dilute limit

    Napiórkowski, M., Reuvers, R. & Solovej, Jan Philip, 2018, In: Communications in Mathematical Physics. 360, 1, p. 347–403 57 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  28. Published

    The semi-classical limit of large fermionic systems

    Fournais, S., Lewin, M. & Solovej, Jan Philip, 2018, In: Calculus of Variations and Partial Differential Equations. 57, 4, 105.

    Research output: Contribution to journalJournal articleResearchpeer-review

  29. 2016
  30. Published

    A new look at Thomas–Fermi theory

    Solovej, Jan Philip, 2016, In: Molecular Physics. 114, 7-8, p. 1036-1040

    Research output: Contribution to journalJournal articleResearchpeer-review

  31. Published

    Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

    Nam, P. T., Napiorkowski, M. & Solovej, Jan Philip, 2016, In: Journal of Functional Analysis. 270, 11, p. 4340–4368

    Research output: Contribution to journalJournal articleResearchpeer-review

  32. Published

    Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States

    Lieb, E. H. & Solovej, Jan Philip, 2016, In: Communications in Mathematical Physics. 348, 2, p. 567–578

    Research output: Contribution to journalJournal articleResearchpeer-review

  33. Published

    The external field dependence of the BCS critical temperature

    Frank, R. L., Hainzl, C., Seiringer, R. & Solovej, Jan Philip, 2016, In: Communications in Mathematical Physics. 342, 1, p. 189-216 22 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  34. 2015
  35. Published

    Bogoliubov Spectrum of Interacting Bose Gases

    Lewin, M., Phan Thanh Nam, Serfaty, S. & Solovej, Jan Philip, Mar 2015, In: Communications on Pure and Applied Mathematics. 68, 3, p. 413-471

    Research output: Contribution to journalJournal articleResearchpeer-review

  36. Published

    Lieb-Thirring Bounds for Interacting Bose Gases

    Lundholm, D., Portmann, F. & Solovej, Jan Philip, 30 Jan 2015, In: Communications in Mathematical Physics. 335, 2, p. 1019-1056

    Research output: Contribution to journalJournal articleResearchpeer-review

  37. Published

    Thomas Fermi type theories (and their relation to exact models).

    Solovej, Jan Philip, 2015, Encyclopedia of Applied and Computational Mathematics. Engquist, B. (ed.). 1 ed. Berllin Heidelberg: Springer Science+Business Media, p. 1471-1475

    Research output: Chapter in Book/Report/Conference proceedingEncyclopedia chapterResearchpeer-review

  38. 2014
  39. Published

    Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

    Lundholm, D. & Solovej, Jan Philip, Jun 2014, In: Annales Henri Poincare. 15, 6, p. 1061-1107

    Research output: Contribution to journalJournal articleResearchpeer-review

  40. Published

    Microscopic Derivation of the Ginzburg-Landau Model

    Frank, R., Hainzl, C., Seiringer, R. & Solovej, Jan Philip, 2014, Proceedings of the XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6 – 11 August 2012. Jensen, A. (ed.). Hackensack, NJ: World Scientific, p. 575–583

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  41. Published

    Proof of an entropy conjecture for Bloch coherent spin states and its generalizations

    H. Lieb, E. & Solovej, Jan Philip, 2014, In: Acta Mathematica. 212, 2, p. 379

    Research output: Contribution to journalJournal articleResearchpeer-review

  42. 2013
  43. Published

    Local exclusion principle for identical particles obeying intermediate and fractional statistics

    Lundholm, D. & Solovej, Jan Philip, 16 Dec 2013, In: Physical Review A (Atomic, Molecular and Optical Physics). 88, 6, 062106.

    Research output: Contribution to journalJournal articleResearchpeer-review

  44. 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 journalJournal articleResearch

  45. Published

    Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction

    Frank, R., Hanizl, C., Seiringer, R. & Solovej, Jan Philip, 2013, Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland. Janas, J., Kurasov, P., Laptev, A. & Naboko, S. N. (eds.). Springer, p. 57-88 (Operator Theory: Advances and Applications , Vol. 227).

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

  46. Published

    Hardy and Lieb-Thirring Inequalities for Anyons

    Lundholm, D. B. A. & Solovej, Jan Philip, 2013, In: Communications in Mathematical Physics. 322, 3, p. 883-908

    Research output: Contribution to journalJournal articleResearchpeer-review

  47. 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 proceedingBook chapterResearchpeer-review

  48. Published

    Stability and semiclassics in self-generated fields

    Erdös, L., Fournais, S. & Solovej, Jan Philip, 2013, In: Journal of the European Mathematical Society. 15, 6, p. 2093-2113

    Research output: Contribution to journalJournal articleResearchpeer-review

  49. 2012
  50. 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 journalJournal articleResearchpeer-review

  51. 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 journalJournal articleResearchpeer-review

  52. 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 proceedingBook chapterResearchpeer-review

  53. 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 journalJournal articleResearchpeer-review

  54. 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 journalJournal articleResearchpeer-review

  55. 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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 proceedingArticle in proceedingsResearchpeer-review

  59. 2010
  60. 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 journalJournal articleResearchpeer-review

  61. 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 journalJournal articleResearchpeer-review

  62. 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 journalJournal articleResearchpeer-review

  63. 2009
  64. 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 journalJournal articleResearchpeer-review

  65. 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 journalJournal articleResearchpeer-review

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