Jan Philip Solovej

Publikation

Publikationer pr. år 1997 2003 2004 2005 2006 2012 2013 2016 2018 2020

• 55 Tidsskriftartikel
• 9 Bidrag til bog/antologi
• 6 Bog
• 4 Konferencebidrag i proceedings
• 2 Mere
  • 1 Bidrag til rapport
  • 1 Encyclopædiartikel

Publikationer pr. år

Publikationer pr. år

Søgeresultater

• 2020

  Friedrichs Extension and Min–Max Principle for Operators with a Gap

  Schimmer, L., Solovej, J. P. & Tokus, S., 1 feb. 2020, I: Annales Henri Poincare.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Min-max Principle 100%
  • Friedrichs Extension 95%
  • Extension Principle 82%
  • Symmetric Operator 74%
  • Self-adjoint Extension 53%
  2 Citationer (Scopus)

• Spectral Flow for Dirac Operators with Magnetic Links

  Portmann, F., Sok, J. & Solovej, J. P., 1 jan. 2020, I: Journal of Geometric Analysis. 68 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Spectral Flow 100%
  • Dirac Operator 74%
  • Torus 55%
  • Knot 40%
  • Writhe 34%
• 2019

  Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

  Fournais, S., Napiórkowski, M., Reuvers, R. & Solovej, J. P., 2019, I: Journal of Mathematical Physics. 60, 7, 17 s., 071903.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Bose Gas 100%
  • Ground State Energy 88%
  • Free Energy 69%
  • Energy Functional 68%
  • Two Dimensions 57%
  5 Citationer (Scopus)

  13 Downloads (Pure)
• 2018

  Analysis of zero modes for Dirac operators with magnetic links

  Portmann, F., Sok, J. & Solovej, J. P., 1 aug. 2018, I: Journal of Functional Analysis. 275, 3, s. 604-659

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Dirac Operator 100%
  • Spectral Flow 90%
  • Magnetic Field 90%
  • Zero 47%
  • Path 42%
  1 Citationer (Scopus)

• Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation

  Napiórkowski, M., Reuvers, R. & Solovej, J. P., 1 jan. 2018, I: EPL. 121, 6 s., 10007.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • critical temperature 100%
  • logarithms 61%
  • approximation 59%
  • gases 57%
  • transition temperature 44%
  3 Citationer (Scopus)

• Gymnasielærerens guide til kvanteuniverset

  Werner, A. H., Lucia, A., Solovej, J. P., Borregaard, J., Mancinska, L., Steenstrup, M. P. H. & Jonsson, R., 2018, I: LMFK-Bladet. 2018, 3, s. 36-42

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Formidling

• Self-adjointness and spectral properties of Dirac operators with magnetic links

  Portmann, F., Sok, J. & Solovej, J. P., 2018, I: Journal de Mathematiques Pures et Appliquees. 119, s. 114-157

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Self-adjointness 100%
  • Eigenspace 89%
  • Discrete Spectrum 88%
  • Dirac Operator 82%
  • Natural Extension 78%
  4 Citationer (Scopus)

  3 Downloads (Pure)

• The Bogoliubov free energy functional I: Existence of minimizers and phase diagram

  Napiórkowski, M., Reuvers, R. & Solovej, J. P., 1 sep. 2018, I: Archive for Rational Mechanics and Analysis. 229, 3, s. 1037–1090 54 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Phase Diagram 100%
  • Phase diagrams 97%
  • Free energy 91%
  • Free Energy 82%
  • Energy Functional 80%
  11 Citationer (Scopus)

• The Bogoliubov free energy functional II: The dilute limit

  Napiórkowski, M., Reuvers, R. & Solovej, J. P., 1 maj 2018, I: Communications in Mathematical Physics. 360, 1, s. 347–403 57 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Free Energy 100%
  • Energy Functional 98%
  • Critical Temperature 89%
  • free energy 75%
  • critical temperature 54%
  11 Citationer (Scopus)

• The Dirac–Frenkel Principle for Reduced Density Matrices, and the Bogoliubov–de Gennes Equations

  Benedikter, N., Sok, J. & Solovej, J. P., 1 apr. 2018, I: Annales Henri Poincare. 19, 4, s. 1167–1214

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Density Matrix 100%
  • Bose-Einstein Condensation 63%
  • Quantum Chemistry 58%
  • Superconductivity 54%
  • Conserved Quantity 50%
  9 Citationer (Scopus)

  71 Downloads (Pure)

• The semi-classical limit of large fermionic systems

  Fournais, S., Lewin, M. & Solovej, J. P., 1 aug. 2018, I: Calculus of Variations and Partial Differential Equations. 57, 4, 105.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Fermions 100%
  • Semiclassical Limit 72%
  • Electromagnetic fields 57%
  • Wigner Function 40%
  • Interaction 40%
  14 Citationer (Scopus)
• 2016

  A new look at Thomas–Fermi theory

  Solovej, J. P., 17 apr. 2016, I: Molecular Physics. 114, 7-8, s. 1036-1040

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Density Functional Theory 100%
  • negative ions 59%
  • estimating 50%
  • Ions 47%
  • density functional theory 43%
  8 Citationer (Scopus)

  261 Downloads (Pure)

• Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

  Nam, P. T., Napiorkowski, M. & Solovej, J. P., 1 jun. 2016, I: Journal of Functional Analysis. 270, 11, s. 4340–4368

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Diagonalization 100%
  • Fock Space 48%
  • Quantum Systems 46%
  • Commute 43%
  • Kinetics 40%
  24 Citationer (Scopus)

• Proof of the Wehrl-type Entropy Conjecture for Symmmetric SU(N) Coherent States

  Lieb, E. H. & Solovej, J. P., 1 dec. 2016, I: Communications in Mathematical Physics. 348, 2, s. 567–578

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Coherent States 100%
  • Entropy 63%
  • entropy 57%
  • Concave function 29%
  • Heisenberg Group 27%
  4 Citationer (Scopus)

• The external field dependence of the BCS critical temperature

  Frank, R. L., Hainzl, C., Seiringer, R. & Solovej, J. P., 1 feb. 2016, I: Communications in Mathematical Physics. 342, 1, s. 189-216 22 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Critical Temperature 100%
  • External Field 82%
  • critical temperature 61%
  • Landau-Ginzburg equations 28%
  • Ginzburg-Landau Equation 28%
  11 Citationer (Scopus)

  553 Downloads (Pure)
• 2015

  Bogoliubov Spectrum of Interacting Bose Gases

  Lewin, M., Phan Thanh Nam, Serfaty, S. & Solovej, J. P., 1 mar. 2015, I: Communications on Pure and Applied Mathematics. 68, 3, s. 413-471

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Bose Gas 100%
  • Ground state 97%
  • Bose-Einstein condensation 67%
  • Bosons 58%
  • Coulomb Gas 50%
  54 Citationer (Scopus)

• Lieb-Thirring Bounds for Interacting Bose Gases

  Lundholm, D., Portmann, F. & Solovej, J. P., apr. 2015, I: Communications in Mathematical Physics. 335, 2, s. 1019-1056

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Bose Gas 100%
  • Interaction 46%
  • Hard Spheres 43%
  • Wave Function 36%
  • gases 33%
  7 Citationer (Scopus)

  1190 Downloads (Pure)

• Thomas Fermi type theories (and their relation to exact models).

  Solovej, J. P., 2015, Encyclopedia of Applied and Computational Mathematics. Engquist, B. (red.). 1 udg. Berllin Heidelberg: Springer Science+Business Media, s. 1471-1475

  Publikation: Bidrag til bog/antologi/rapport › Encyclopædiartikel › Forskning › peer review
• 2014

  Local Exclusion and Lieb-Thirring Inequalities for Intermediate and Fractional Statistics

  Lundholm, D. & Solovej, J. P., jun. 2014, I: Annales Henri Poincare. 15, 6, s. 1061-1107

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Lieb-Thirring Inequality 100%
  • exclusion 72%
  • statistics 51%
  • Fractional 46%
  • Statistics 44%
  19 Citationer (Scopus)

• Microscopic Derivation of the Ginzburg-Landau Model

  Frank, R., Hainzl, C., Seiringer, R. & Solovej, J. P., 2014, Proceedings of the XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6 – 11 August 2012. Jensen, A. (red.). Hackensack, NJ: World Scientific, s. 575–583

  Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

  • Ginzburg-Landau Theory 100%
  • Semi-classical Analysis 95%
  • Critical Temperature 89%
  • Ginzburg-Landau Model 84%
  • Ginzburg-Landau 76%

• Proof of an entropy conjecture for Bloch coherent spin states and its generalizations

  H. Lieb, E. & Solovej, J. P., jun. 2014, I: Acta Mathematica. 212, 2, s. 379

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Coherent States 100%
  • Entropy 63%
  • Generalization 39%
  • Density Matrix 31%
  • Quantum Channel 17%
  17 Citationer (Scopus)
• 2013

  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, J. P., 2013, I: Bulletin of the American Mathematical Society. 50, 1, s. 169-174 6 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning

• Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction

  Frank, R., Hanizl, C., Seiringer, R. & Solovej, J. P., 2013, Operator Methods in Mathematical Physics : Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland. Janas, J., Kurasov, P., Laptev, A. & Naboko, S. N. (red.). Springer, s. 57-88 (Operator Theory: Advances and Applications , Bind 227).

  Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

  • Ginzburg-Landau Theory 100%
  • One-dimensional System 74%
  • Contact 52%
  • Interaction 44%
  • Model 20%
  6 Citationer (Scopus)

• Hardy and Lieb-Thirring Inequalities for Anyons

  Lundholm, D. B. A. & Solovej, J. P., sep. 2013, I: Communications in Mathematical Physics. 322, 3, s. 883-908

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  22 Citationer (Scopus)

• Local exclusion principle for identical particles obeying intermediate and fractional statistics

  Lundholm, D. & Solovej, J. P., 16 dec. 2013, I: Physical Review A (Atomic, Molecular and Optical Physics). 88, 6, 062106.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • exclusion 100%
  • statistics 70%
  • kinetic energy 35%
  • requirements 30%
  • gases 23%
  14 Citationer (Scopus)

• On the minimization of Hamiltonians over pure Gaussian states

  Derezinski, J., Napiorkowski, M. & Solovej, J. P., 2013, Complex Quantum SystemsAnalysis of Large Coulomb Systems. Siedentop, H. (red.). World Scientific, Bind 24. (National University of Singapore. Institute for Mathematical Sciences. Lecture Notes Series, Bind 24).

  Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › peer review

  • operators 100%
  • wicks 95%
  • optimization 92%
  • leaves 73%
  • polynomials 62%

• Stability and semiclassics in self-generated fields

  Erdös, L., Fournais, S. & Solovej, J. P., 2013, I: Journal of the European Mathematical Society. 15, 6, s. 2093-2113

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Magnetic fields 100%
  • Ground state 85%
  • Magnetic Field 55%
  • Ground State Energy 39%
  • Energy 38%
  5 Citationer (Scopus)
• 2012

  Asymptotics for Two-dimensional Atoms

  Nam, P. T., Portmann, F. & Solovej, J. P., mar. 2012, I: Annales Henri Poincare. 13, 2, s. 333-362 30 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Charge 100%
  • heavy nuclei 85%
  • neutral atoms 83%
  • atoms 75%
  • Ground State Energy 68%
  6 Citationer (Scopus)

• Microscopic Derivation of Ginzburg-Landau Theory

  Frank, R., Hainzl, C., Seiringer, R. & Solovej, J. P., 2012, I: Journal of the American Mathematical Society. 25, 3, s. 667-713 47 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Ginzburg-Landau Theory 100%
  • Semi-classical Analysis 95%
  • Critical Temperature 89%
  • Ginzburg-Landau 76%
  • Scaling Limit 71%
  39 Citationer (Scopus)

• Quantum Coulomb Gases

  Solovej, J. P., 2012, Quantum Many Body Systems: Lecture Notes in Mathematics C.I.M.E. Foundation subseries. Giuliani, A., Mastropietro, V. & Yngvason, J. (red.). Springer, Bind 2051. s. 93-124 31 s.

  Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning › peer review

• Relativistic Scott correction in self-generated magnetic fields.

  Erdos, L., Fournais, S. & Solovej, J. P., 28 sep. 2012, I: Journal of Mathematical Physics. 53, 9, s. 095202 26 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Magnetic Field 100%
  • magnetic fields 51%
  • Kinetic energy 49%
  • Energy 41%
  • Molecules 40%
  13 Citationer (Scopus)

• Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field

  Erdös, L., Fournais, S. & Solovej, J. P., jun. 2012, I: Communications in Mathematical Physics. 312, 3, s. 847-882 36 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Molecules 100%
  • Magnetic Field 98%
  • Thomas-Fermi model 73%
  • expansion 63%
  • Term 54%
  11 Citationer (Scopus)

• Second order semiclassics with self-generated magnetic fields

  Erdös, L., Fournais, S. & Solovej, J. P., maj 2012, I: Annales Henri Poincare. 13, 4, s. 671-713 43 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Magnetic Field 100%
  • Molecules 67%
  • Vanish 59%
  • Term 55%
  • magnetic fields 51%
  8 Citationer (Scopus)
• 2011

  On the behaviour of the Hartree-Fock energy at short internuclear distances

  Gilka, N., Solovej, J. P. & Taylor, P. R., 5 nov. 2011, I: International Journal of Quantum Chemistry. 111, 13, s. 3324-3328

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Nuclear Charge 100%
  • Diatomic Molecule 86%
  • diatomic molecules 71%
  • Energy 60%
  • energy 37%
  1 Citationer (Scopus)

• Using CAS based work to ease the transition from calculus to real analysis

  Gyöngyösi, E., Solovej, J. P. & Winsløw, C., 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. (red.). European Society for Research in Mathematics Education , s. 2002-2011 (Proceedings: Conference for European Research in Mathematics Education).

  Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review
• 2010

  Excess Charge for Pseudo-relativistic Atoms in Hartree-Fock Theory

  Dall'Acqua, A. & Solovej, J. P., 2010, I: Documenta Mathematica. 15, s. 285-345

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Ionization 100%
  • Excess 71%
  • Charge 67%
  • Fine Structure 43%
  • Energy 22%
  3 Citationer (Scopus)

• The relativistic Scott correction for atoms and molecules

  Solovej, J. P., Sørensen, T. Ø. & Spitzer, W. L., jan. 2010, I: Communications on Pure and Applied Mathematics. 63, 1, s. 39-118

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Fermi level 100%
  • Atoms 59%
  • Molecules 56%
  • Ground state 43%
  • Ground State Energy 39%
  34 Citationer (Scopus)
• 2009

  Ground state energy of large atoms in a self-generated magnetic field

  Erdos, L. & Solovej, J. P., jan. 2009, I: Communications in Mathematical Physics. 294, 1, s. 229-249

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Ground State Energy 100%
  • Electromagnetic Fields 83%
  • Magnetic Field 70%
  • electromagnetic fields 60%
  • Thomas-Fermi model 52%
  11 Citationer (Scopus)

• The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory.

  Hainzl, C., Lewin, M. & Solovej, J. P., 2009, I: Advances in Mathematics. 221, s. 454-487

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  15 Citationer (Scopus)

• The Thermodynamic Limit of Quantum Coulomb Systems. Part II. Applications.

  Hainzl, C., Lewin, M. & Solovej, J. P., 2009, I: Advances in Mathematics. 221, s. 488-546

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  22 Citationer (Scopus)
• 2008

  The BCS Model for General Pair Interaction

  Hainzl, C., Hamza, E., Seiringer, R. & Solovej, J. P., 2 jun. 2008, I: Communications in Mathematical Physics. 281, 2, s. 349-367

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  • Critical Temperature 100%
  • Interaction 74%
  • critical temperature 61%
  • linear operators 50%
  • interactions 41%
  46 Citationer (Scopus)
• 2007

  A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics

  Solovej, J. P., Hainzl, C., Lewin, M. & Sere, E., 7 nov. 2007, I: Physical Review A (Atomic, Molecular and Optical Physics). 76, s. 052104-1-11 11 s.

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  17 Citationer (Scopus)

• The Mean-Field Approximation in Quantum Electrodynamics. The no-photon case.

  Solovej, J. P., Hainzl, C. & Lewin, M., 2007, I: Communications on Pure and Applied Mathematics. LX, s. 546-596

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  30 Citationer (Scopus)
• 2006

  Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice

  Aizenmann, M., Lieb, E. H., Seiringer, R., Solovej, J. P. & Yngvason, J., 2006, Mathematical Physics of Quantum Mechanics: Selected and Refereed Lectures from QMath9. Asch, J. & Joye, A. (red.). Springer, s. 199-215 (Lecture Notes in Physics).

  Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

  5 Citationer (Scopus)

• Ground-State Energy of a Dilute Fermi Gas

  Lieb, E. H., Seiringer, R. & Solovej, J. P., 2006, USA: American Mathematical Society.

  Publikation: Bog/antologi/afhandling/rapport › Bog › Forskning

• Mathematical Problems of Large Quantum Systems

  Solovej, J. P., 2006, proceedings of 4th European Congress of Mathematics, Stockholm, June 27-July 2, 2004. Laptev, A. (red.). European Mathematical Society, s. 669-680

  Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning

• Stability of Matter

  Solovej, J. P., 2006, Encyclopedia of Mathematical Physics. Francoise, J. P., Naber, G. L. & Tsou, S. T. (red.). Oxford: Elsevier, Bind 5. s. 8-14

  Publikation: Bidrag til bog/antologi/rapport › Bidrag til bog/antologi › Forskning

• The Independence on Boundary Conditions for the Thermodynamic Limit of Charged Systems

  Hasler, D. & Solovej, J. P., 2006, I: Communications in Mathematical Physics. 261, s. 549-568

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  1 Citationer (Scopus)

• Upper Bounds to the Ground State Energies of the One- and Two-Component Charges Bose Gases

  Solovej, J. P., 2006, I: Communications in Mathematical Physics. 266, 3, s. 797-818

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  32 Citationer (Scopus)
• 2005

  Existence of the D0-D4 Bound State: a detailed Proof

  Erdos, L., Hasler, D. & Solovej, J. P., 2005, I: Annales de l'Institute Henri Poincare. Physique theorique. 6, 2, s. 247-267

  Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

  4 Citationer (Scopus)