Jan Philip Solovej
Professor
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
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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
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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
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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
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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. 797-818Research 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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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
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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
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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
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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 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
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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. 97-104Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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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 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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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
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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
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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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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
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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. 546-596Research output: Contribution to journal › Journal article › Research › peer-review
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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
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The Ionization Conjecture in Hartree-Fock Theory
Solovej, Jan Philip, 2003, In: Annals of Mathematics. 158, p. 509-576Research output: Contribution to journal › Journal article › Research › peer-review
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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. 549-568Research output: Contribution to journal › Journal article › Research › peer-review
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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. 131-178Research output: Chapter in Book/Report/Conference proceeding › Report chapter › Research
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The Energy of Charges Matter
Solovej, Jan Philip, 2005, Singapore: World Scientific.Research output: Book/Report › Book › 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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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
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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
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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. 349-367Research output: Contribution to journal › Journal article › Research › peer-review
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Supplement 2002 Matematik 1GB
Solovej, Jan Philip, 2002, Supplement 2002 Matematik 1GB. Universitetsbogladen, p. 110Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education
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Statistical Mechanics. Selecta of Eliott H. Lieb
Nachtergaele, B., Solovej, Jan Philip & Yngvason, J., 2004, Springer.Research output: Book/Report › Book › Research › peer-review
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Stability of relativistic matter with magnetic fields
Solovej, Jan Philip, Lieb, E. H. & Siedentop, H., 1997, In: Physical Review Letters. 79, p. 1785-1788Research output: Contribution to journal › Journal article › Research › peer-review
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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. 8-14Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
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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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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. 37-59Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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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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. 599-656Research output: Contribution to journal › Journal article › Research › peer-review
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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
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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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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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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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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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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
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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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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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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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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 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
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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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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
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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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