Jan Philip Solovej
Professor
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- 2024
- 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 journal › Editorial › Research › peer-review
- 2023
- Published
The energy of dilute Bose gases II: the general case
Fournais, Søren & Solovej, Jan Philip, 2023, In: Inventiones Mathematicae. 232, p. 863–994Research output: Contribution to journal › Journal article › Research › peer-review
- 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
- 2022
- 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 paper › Preprint › Research
- 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. 307–327Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
- 2021
- 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. 301-314Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
- 2020
- 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. 323–351Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 571-626Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The energy of dilute Bose gases
Fournais, Søren & Solovej, Jan Philip, Nov 2020, In: Annals of Mathematics. 192, 3, p. 893-976Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 1100-1167Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 327-357Research output: Contribution to journal › Journal article › Research › peer-review
- 2019
- 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 journal › Journal article › Research › peer-review
- 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
- 2018
- 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. 1167–1214Research output: Contribution to journal › Journal article › Research › peer-review
- 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
- 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
- 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
- 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
- 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. 604-659Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 114-157Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 36-42Research output: Contribution to journal › Journal article › Communication
- 2016
- 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
- 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. 567–578Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 4340–4368Research output: Contribution to journal › Journal article › Research › peer-review
- Published
A new look at Thomas–Fermi theory
Solovej, Jan Philip, 2016, In: Molecular Physics. 114, 7-8, p. 1036-1040Research output: Contribution to journal › Journal article › Research › peer-review
- 2015
- 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. 413-471Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 1019-1056Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 1471-1475Research output: Chapter in Book/Report/Conference proceeding › Encyclopedia chapter › Research › peer-review
- 2014
- 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. 575–583Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- 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. 379Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 1061-1107Research output: Contribution to journal › Journal article › Research › peer-review
- 2013
- 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 proceeding › Book chapter › Research › peer-review
- 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. 2093-2113Research output: Contribution to journal › Journal article › Research › peer-review
- 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 proceeding › Article in proceedings › Research › peer-review
- 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
- Published
Hardy and Lieb-Thirring Inequalities for Anyons
Lundholm, D. B. A. & Solovej, Jan Philip, 2013, In: Communications in Mathematical Physics. 322, 3, p. 883-908Research output: Contribution to journal › Journal article › Research › peer-review
- 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
- 2012
- 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 journal › Journal article › Research › peer-review
- 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 journal › Journal article › Research › peer-review
- 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 journal › Journal article › Research › peer-review
- 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 journal › Journal article › Research › peer-review
- 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
- 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
- 2011
- 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. 3324-3328Research output: Contribution to journal › Journal article › Research › peer-review
- 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
- 2010
- Published
Excess Charge for Pseudo-relativistic Atoms in Hartree-Fock Theory
Dall'Acqua, A. & Solovej, Jan Philip, 2010, In: Documenta Mathematica. 15, p. 285-345Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 229-249Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 39-118Research output: Contribution to journal › Journal article › Research › peer-review
- 2009
- 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. 454-487Research output: Contribution to journal › Journal article › Research › peer-review
- 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. 488-546Research output: Contribution to journal › Journal article › Research › peer-review
ID: 14072
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Lieb-Thirring Bounds for Interacting Bose Gases
Research output: Contribution to journal › Journal article › Research › peer-review
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The external field dependence of the BCS critical temperature
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A new look at Thomas–Fermi theory
Research output: Contribution to journal › Journal article › Research › peer-review
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