Jan Philip Solovej

Jan Philip Solovej

Professor


  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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 journalJournal articleResearchpeer-review

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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 journalJournal articleResearchpeer-review

  21. 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 journalJournal articleResearchpeer-review

  22. 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

  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

    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

  25. 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

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