Jan Philip Solovej
Professor
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- 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
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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
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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. 383-420Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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
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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
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
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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. 703-724Research output: Contribution to journal › Journal article › Research › peer-review
- 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
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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
- 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 proceeding › Article in proceedings › Research › peer-review
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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 journal › Journal article › Research › peer-review
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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
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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
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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
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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
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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
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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. 247-267Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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. 053605Research output: Contribution to journal › Journal article › Research › peer-review
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Ground State Energy of the One Component Charged Bose Gas
Lieb, E. H. & Solovej, Jan Philip, 2001, In: Communications in Mathematical Physics. 217, p. 127-163Research output: Contribution to journal › Journal article › Research › peer-review
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Ground State Energy of the Two-Component Charges Bose Gas
Lieb, E. H. & Solovej, Jan Philip, 2004, In: Communications in Mathematical Physics. 252, p. 485-534Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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
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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
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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
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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
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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
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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
- 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
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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
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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
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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. 475-506Research output: Contribution to journal › Journal article › Research › peer-review
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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. 669-680Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- 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. 211-220Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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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
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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
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. 305-319Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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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. 281-306Research output: Contribution to journal › Journal article › Research › peer-review
- 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
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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. 111-119Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- 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
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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
- 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
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
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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
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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
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
ID: 14072
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Lieb-Thirring Bounds for Interacting Bose Gases
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The external field dependence of the BCS critical temperature
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A new look at Thomas–Fermi theory
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