Jan Philip Solovej

Jan Philip Solovej

Professor

ORCID: 0000-0002-0244-1497

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  1. 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

  2. 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

  3. 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 journal › Journal article › Research › peer-review

  4. 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

  5. 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 journal › Journal article › Research › peer-review

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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 journal › Journal article › Research › peer-review

  12. 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 journal › Journal article › Research › peer-review

  13. 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 journal › Journal article › Research › peer-review

  14. Published

    The Energy of Charges Matter

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

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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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 journal › Journal article › Research › peer-review

  22. 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

  23. 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

  24. 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 journal › Journal article › Research › peer-review

  25. 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 journal › Journal article › Research › peer-review

  26. 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

  27. 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 journal › Journal article › Research › peer-review

  28. 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

  29. 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

  30. 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 journal › Journal article › Research › peer-review

  31. 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 proceeding › Encyclopedia chapter › Research › peer-review

  32. 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

  33. 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

  34. 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 proceeding › Book chapter › Research › peer-review

  35. 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

  36. 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 proceeding › Book chapter › Research › peer-review

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