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1

The Ionization Conjecture in Hartree-Fock Theory

Jan Philip Solovej

Journal:

Annals of Mathematics

Year:

2003

Language:

english

File:

PDF, 1.94 MB

english, 2003

2

Stability of Matter in Magnetic Fields

Lieb, Elliott H., Loss, Michael, Solovej, Jan Philip

Journal:

Physical Review Letters

Year:

1995

Language:

english

File:

PDF, 224 KB

english, 1995

3

Ground State Energy of the Two-Component Charged Bose Gas

Elliott H. Lieb, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 416 KB

english, 2004

4

Statistical Mechanics || A Fresh Look at Entropy and the Second Law of Thermodynamics

Nachtergaele, Bruno, Solovej, Jan Philip, Yngvason, Jakob

Year:

2004

Language:

english

File:

PDF, 1.40 MB

english, 2004

5

The thermodynamic limit of quantum Coulomb systems Part I. General theory

Christian Hainzl, Mathieu Lewin, Jan Philip Solovej

Journal:

Advances in Mathematics

Year:

2009

Language:

english

File:

PDF, 568 KB

english, 2009

6

Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet

Joseph G. Conlon, Jan Philip Solovej

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 310 KB

english, 1991

7

Generalized Hartree-Fock theory and the Hubbard model

Volker Bach, Elliott H. Lieb, Jan Philip Solovej

Journal:

Journal of Statistical Physics

Year:

1994

Language:

english

File:

PDF, 3.26 MB

english, 1994

8

Statistical Mechanics || A Guide to Entropy and the Second Law of Thermodynamics

Nachtergaele, Bruno, Solovej, Jan Philip, Yngvason, Jakob

Year:

2004

Language:

english

File:

PDF, 1.72 MB

english, 2004

9

Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring?type estimate

Erd�s, L�szl�, Solovej, Jan Philip

Journal:

Duke Mathematical Journal

Year:

1999

File:

PDF, 1.61 MB

1999

10

The mean-field approximation in quantum electrodynamics: The no-photon case

Christian Hainzl, Mathieu Lewin, Jan Philip Solovej

Journal:

Communications on Pure and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 368 KB

english, 2007

11

The thermodynamic limit of quantum Coulomb systems Part II. Applications

Christian Hainzl, Mathieu Lewin, Jan Philip Solovej

Journal:

Advances in Mathematics

Year:

2009

Language:

english

File:

PDF, 539 KB

english, 2009

12

Proof of the ionization conjecture in a reduced Hartree-Fock model

Jan Philip Solovej

Journal:

Inventiones mathematicae

Year:

1991

Language:

english

File:

PDF, 694 KB

english, 1991

13

Hardy and Lieb-Thirring Inequalities for Anyons

Lundholm, Douglas, Solovej, Jan Philip

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 476 KB

english, 2013

14

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

Lieb, Elliott H., Solovej, Jan Philip

Journal:

Acta Mathematica

Year:

2014

Language:

english

File:

PDF, 358 KB

english, 2014

15

Ground states of large quantum dots in magnetic fields

Lieb, Elliott H., Solovej, Jan Philip, Yngvason, Jakob

Journal:

Physical Review B

Year:

1995

Language:

english

File:

PDF, 1011 KB

english, 1995

16

Ground-state energy of the low-density Fermi gas

Lieb, Elliott H., Seiringer, Robert, Solovej, Jan Philip

Journal:

Physical Review A

Year:

2005

Language:

english

File:

PDF, 162 KB

english, 2005

17

Microscopic derivation of Ginzburg-Landau theory

Frank, Rupert L., Hainzl, Christian, Seiringer, Robert, Solovej, Jan Philip

Journal:

Journal of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 550 KB

english, 2012

18

Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

Nam, Phan Thành, Napiórkowski, Marcin, Solovej, Jan Philip

Journal:

Journal of Functional Analysis

Year:

2016

Language:

english

File:

PDF, 467 KB

english, 2016

19

Bogoliubov Spectrum of Interacting Bose Gases

Lewin, Mathieu, Nam, Phan Thành, Serfaty, Sylvia, Solovej, Jan Philip

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 475 KB

english, 2015

20

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

Benedikter, Niels, Sok, Jérémy, Solovej, Jan Philip

Journal:

Annales Henri Poincaré

Year:

2018

Language:

english

File:

PDF, 902 KB

english, 2018

21

The semi-classical limit of large fermionic systems

Fournais, Søren, Lewin, Mathieu, Solovej, Jan Philip

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2018

Language:

english

File:

PDF, 721 KB

english, 2018

22

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

Fournais, Søren, Napiórkowski, Marcin, Reuvers, Robin, Solovej, Jan Philip

Journal:

Journal of Mathematical Physics

Year:

2019

Language:

english

File:

PDF, 1.46 MB

english, 2019

23

A Simple 2nd Order Lower Bound to the Energy of Dilute Bose Gases

Brietzke, Birger, Fournais, SÃ¸ren, Solovej, Jan Philip

Journal:

Communications in Mathematical Physics

Year:

2020

File:

PDF, 461 KB

2020

24

Relativistic Scott correction for atoms and molecules

Jan Philip Solovej, Thomas Østergaard Sørensen, Wolfgang Ludwig Spitzer

Journal:

Communications on Pure and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 523 KB

english, 2010

25

Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions

Elliott H. Lieb, Jan Philip Solovej, Jakob Yngvason

Journal:

Communications on Pure and Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 3.26 MB

english, 1994

26

Behavior of the Hartree-Fock energy at short internuclear distances

Natalie Gilka, Jan Philip Solovej, Peter R. Taylor

Journal:

International Journal of Quantum Chemistry

Year:

2011

Language:

english

File:

PDF, 164 KB

english, 2011

27

Asymptotics for Bosonic atoms

Jan Philip Solovej

Journal:

Letters in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 320 KB

english, 1990

28

Quantum coherent operators: A generalization of coherent states

Elliott H. Lieb, Jan Philip Solovej

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 442 KB

english, 1991

29

Random walk representations of the Heisenberg model

Joseph G. Conlon, Jan Philip Solovej

Journal:

Journal of Statistical Physics

Year:

1991

Language:

english

File:

PDF, 686 KB

english, 1991

30

Uniform convergence of the free energy of the classical Heisenberg model to that of the gaussian model

Joseph G. Conlon, Jan Philip Solovej

Journal:

Journal of Statistical Physics

Year:

1991

Language:

english

File:

PDF, 368 KB

english, 1991

31

Universality in the Thomas-Fermi-von Weizsäcker model of atoms and molecules

Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 1.64 MB

english, 1990

32

Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions

Elliott H. Lieb, Jan Philip Solovej, Jakob Yngvason

Journal:

Communications in Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 2.34 MB

english, 1994

33

Asymptotic neutrality of diatomic molecules

Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 769 KB

english, 1990

34

Stability and instability of relativistic electrons in classical electromagnetic fields

Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej

Journal:

Journal of Statistical Physics

Year:

1997

Language:

english

File:

PDF, 989 KB

english, 1997

35

Uniform Lieb-Thirring Inequality for the Three-Dimensional Pauli Operator with a Strong Non-Homogeneous Magnetic Field

László Erdős, Jan Philip Solovej

Journal:

Annales Henri Poincaré

Year:

2004

Language:

english

File:

PDF, 648 KB

english, 2004

36

Existence of theD0−D4 Bound State: a Detailed Proof

Laszlo Erdös, David Hasler, Jan Philip Solovej

Journal:

Annales Henri Poincaré

Year:

2005

Language:

english

File:

PDF, 219 KB

english, 2005

37

Asymptotics for Two-Dimensional Atoms

Phan Thanh Nam, Fabian Portmann, Jan Philip Solovej

Journal:

Annales Henri Poincaré

Year:

2012

Language:

english

File:

PDF, 385 KB

english, 2012

38

A New Coherent States Approach to Semiclassics Which Gives Scott’s Correction

Jan Philip Solovej, Wolfgang L. Spitzer

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 360 KB

english, 2003

39

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

David Hasler, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 238 KB

english, 2006

40

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

Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 247 KB

english, 2006

41

The BCS Functional for General Pair Interactions

Christian Hainzl, Eman Hamza, Robert Seiringer, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 294 KB

english, 2008

42

Ground State Energy of Large Atoms in a Self-Generated Magnetic Field

László Erdős, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 297 KB

english, 2010

43

Atoms in Strong Magnetic Fields:¶The High Field Limit at Fixed Nuclear Charge

Bernhard Baumgartner, Jan Philip Solovej, Jakob Yngvason

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 164 KB

english, 2000

44

Ground State Energy of the One-Component Charged Bose Gas

Elliott H. Lieb, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 279 KB

english, 2001

45

Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Non-Homogeneous Magnetic Fields

László Erdős, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

1997

Language:

english

File:

PDF, 539 KB

english, 1997

46

Magnetic Lieb—Thirring Inequalities with Optimal Dependence on the Field Strength

László Erdős, Jan Philip Solovej

Journal:

Journal of Statistical Physics

Year:

2004

Language:

english

File:

PDF, 216 KB

english, 2004

47

Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit

William Desmond Evans, Roger T. Lewis, Heinz Siedentop, Jan Philip Solovej

Journal:

Arkiv för Matematik

Year:

1996

Language:

english

File:

PDF, 734 KB

english, 1996

48

Second Order Semiclassics with Self-Generated Magnetic Fields

László Erdős, Søren Fournais, Jan Philip Solovej

Journal:

Annales Henri Poincaré

Year:

2012

Language:

english

File:

PDF, 661 KB

english, 2012

49

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

László Erdős, Søren Fournais, Jan Philip Solovej

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 453 KB

english, 2012

50

Bose-Einstein quantum phase transition in an optical lattice model

Aizenman, Michael, Lieb, Elliott H., Seiringer, Robert, Solovej, Jan Philip, Yngvason, Jakob

Journal:

Physical Review A

Year:

2004

Language:

english

File:

PDF, 166 KB

english, 2004

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