Jan Philip Solovej

Jan Philip Solovej

Professor


  1. 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 journalJournal articleResearchpeer-review

  2. 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

  3. 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 journalJournal articleResearchpeer-review

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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 journalJournal articleResearchpeer-review

  9. 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

  10. 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

  11. 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 proceedingArticle in proceedingsResearchpeer-review

  12. 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 journalJournal articleResearchpeer-review

  13. 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

  14. 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/ReportBookResearch

  15. 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

  16. 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

  17. 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

  18. 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 journalJournal articleResearchpeer-review

  19. 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

  20. 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 journalJournal articleResearchpeer-review

  21. 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 journalJournal articleResearchpeer-review

  22. 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 journalJournal articleResearchpeer-review

  23. 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

  24. 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

  25. 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

  26. 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/ReportBookResearch

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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 journalJournal articleResearchpeer-review

  34. 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 proceedingBook chapterResearch

  35. 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 proceedingBook chapterResearch

  36. 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

  37. 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

  38. 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 proceedingBook chapterResearch

  39. 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 journalJournal articleResearchpeer-review

  40. 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

  41. 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 proceedingBook chapterResearch

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

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