Jan Philip Solovej
Professor
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- 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
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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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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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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
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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
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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
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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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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
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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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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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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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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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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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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
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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. 671-741Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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
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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
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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
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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. 127-173Research output: Contribution to journal › Journal article › Research › peer-review
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The kernel of Dirac operators on S3 and R3
Erdös, L. & Solovej, Jan Philip, 2001, In: Reviews in Mathematical Physics. 13, p. 1247-1280Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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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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
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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
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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