Jan Philip Solovej

Jan Philip Solovej

Professor

ORCID: 0000-0002-0244-1497

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  1. 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 journal › Journal article › Communication

  2. Published

    The Energy of Charges Matter

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

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

  3. 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 journal › Editorial › Research

  4. 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

  5. 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 journal › Journal article › Research

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  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 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

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

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

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

  26. 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

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

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

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

  30. 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

  31. 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

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

  33. 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

  34. 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

  35. 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

  36. 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

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

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

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

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

  41. 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

  42. 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

  43. 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

  44. 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

  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 journal › Journal article › Research › peer-review

  46. 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

  47. 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

  48. 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

  49. 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

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

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