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1

The physics and mathematics of the second law of thermodynamics

Elliott H. Lieb, Jakob Yngvason

Journal:

Physics Reports

Year:

1999

Language:

english

File:

PDF, 707 KB

english, 1999

2

Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities

Elliott H. Lieb

Journal:

Annals of Mathematics

Year:

1983

Language:

english

File:

PDF, 1.63 MB

english, 1983

3

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

Haïm Brezis and Elliott Lieb

Journal:

Proceedings of the American Mathematical Society

Year:

1983

Language:

english

File:

PDF, 161 KB

english, 1983

4

Sharp uniform convexity and smoothness inequalities for trace norms

Keith Ball, Eric A. Carlen, Elliott H. Lieb

Journal:

Inventiones mathematicae

Year:

1994

Language:

english

File:

PDF, 833 KB

english, 1994

5

A Fresh Look at Entropy and the Second Law of Thermodynamics

Lieb, Elliott H., Yngvason, Jakob

Journal:

Year:

2000

Language:

english

File:

PDF, 117 KB

english, 2000

6

Two soluble models of an antiferromagnetic chain

Elliott Lieb, Theodore Schultz, Daniel Mattis

Journal:

Annals of Physics

Year:

1961

Language:

english

File:

PDF, 2.55 MB

english, 1961

7

Gravitational collapse in quantum mechanics with relativistic kinetic energy

Elliott H Lieb, Walter E Thirring

Journal:

Annals of Physics

Year:

1984

Language:

english

File:

PDF, 796 KB

english, 1984

8

Density functionals for coulomb systems

Elliott H. Lieb

Journal:

International Journal of Quantum Chemistry

Year:

1983

Language:

english

File:

PDF, 1.57 MB

english, 1983

9

The physics and mathematics of the second law of thermodynamics (Physics Reports 310 (1999) 1–96)

Elliott H. Lieb, Jakob Yngvason

Journal:

Physics Reports

Year:

1999

Language:

english

File:

PDF, 61 KB

english, 1999

10

Proof of the strong subadditivity of quantum-mechanical entropy

Lieb, Elliott H.

Journal:

Journal of Mathematical Physics

Year:

1973

Language:

english

File:

PDF, 525 KB

english, 1973

11

Bound for the Kinetic Energy of Fermions which Proves the Stability of Matter.

Lieb, Elliott H., Thirring, Walter E.

Journal:

Physical Review Letters

Year:

1975

Language:

english

File:

PDF, 157 KB

english, 1975

12

Some problems in statistical mechanics that I would like to see solved

Elliott H. Lieb

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

1999

Language:

english

File:

PDF, 621 KB

english, 1999

13

Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials

Rupert L. Frank, Ari Laptev, Elliott H. Lieb, Robert Seiringer

Journal:

Letters in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 113 KB

english, 2006

14

Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators

Frank, Rupert L., Lieb, Elliott H., Seiringer, Robert

Journal:

Journal of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 63 KB

english, 2008

15

Exact Solution of a Many-Fermion System and Its Associated Boson Field

Mattis, Daniel C., Lieb, Elliott H.

Journal:

Journal of Mathematical Physics

Year:

1965

Language:

english

File:

PDF, 980 KB

english, 1965

16

The stability of matter

Lieb, Elliott H.

Journal:

Review of Modern Physics

Year:

1976

Language:

english

File:

PDF, 1.59 MB

english, 1976

17

Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter

Lieb, Elliott H., Thirring, Walter E.

Journal:

Physical Review Letters

Year:

1975

Language:

english

File:

PDF, 206 KB

english, 1975

18

Singularities of Energy Minimizing Maps From the Ball to the Sphere: Examples, Counterexamples, and Bounds

Frederick J. Almgren, Jr. and Elliott H. Lieb

Journal:

Annals of Mathematics

Year:

1988

Language:

english

File:

PDF, 3.29 MB

english, 1988

19

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

20

Fluxes, Laplacians, and Kasteleyn?s theorem

Lieb, Elliott H., Loss, Michael

Journal:

Duke Mathematical Journal

Year:

1993

Language:

english

File:

PDF, 2.94 MB

english, 1993

21

Convex trace functions and the Wigner-Yanase-Dyson conjecture

Journal:

Advances in Mathematics

Year:

1973

Language:

english

File:

PDF, 1018 KB

english, 1973

22

On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model

Klaus Hepp, Elliott H Lieb

Journal:

Annals of Physics

Year:

1973

Language:

english

File:

PDF, 1.89 MB

english, 1973

23

A lower bound for Coulomb energies

Elliott H. Lieb

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 249 KB

english, 1979

24

Gaussian kernels have only Gaussian maximizers

Elliott H. Lieb

Journal:

Inventiones mathematicae

Year:

1990

Language:

english

File:

PDF, 1.59 MB

english, 1990

25

The Stability of Matter and Quantum Electrodynamics

Elliott H. Lieb

Journal:

Milan Journal of Mathematics

Year:

2003

Language:

english

File:

PDF, 192 KB

english, 2003

26

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

27

A relation between pointwise convergence of functions and convergence of functionals

Br{ézis, Ha{ï}m, Lieb, Elliott

Journal:

Proceedings of the American Mathematical Society

Year:

1983

Language:

english

File:

PDF, 213 KB

english, 1983

28

Symmetric Decreasing Rearrangement Is Sometimes Continuous

Frederick J. Almgren, Jr. and Elliott H. Lieb

Journal:

Journal of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 5.87 MB

english, 1989

29

Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field

Hepp, Klaus, Lieb, Elliott H.

Journal:

Physical Review A

Year:

1973

Language:

english

File:

PDF, 466 KB

english, 1973

30

A Fundamental Property of Quantum-Mechanical Entropy

Lieb, Elliott H., Ruskai, Mary Beth

Journal:

Physical Review Letters

Year:

1973

Language:

english

File:

PDF, 323 KB

english, 1973

31

Two theorems on the Hubbard model

Lieb, Elliott H.

Journal:

Physical Review Letters

Year:

1989

Language:

english

File:

PDF, 300 KB

english, 1989

32

Thomas-Fermi Theory Revisited

Lieb, Elliott H., Simon, Barry

Journal:

Physical Review Letters

Year:

1973

Language:

english

File:

PDF, 536 KB

english, 1973

33

Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann () || Quantum Dynamics: From Automorphism to Hamiltonian

Lieb, Elliott H.

Year:

2015

Language:

english

File:

PDF, 771 KB

english, 2015

34

The local density approximation in density functional theory

Lewin, Mathieu, Lieb, Elliott H., Seiringer, Robert

Journal:

Pure and Applied Analysis

Year:

2020

File:

PDF, 2.06 MB

2020

35

A lower bound for level spacings

Elliott H Lieb, Walter E Thirring

Journal:

Annals of Physics

Year:

1977

Language:

english

File:

PDF, 352 KB

english, 1977

36

A general rearrangement inequality for multiple integrals

H.J Brascamp, Elliott H Lieb, J.M Luttinger

Journal:

Journal of Functional Analysis

Year:

1974

Language:

english

File:

PDF, 466 KB

english, 1974

37

On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

Herm Jan Brascamp, Elliott H Lieb

Journal:

Journal of Functional Analysis

Year:

1976

Language:

english

File:

PDF, 933 KB

english, 1976

38

Sobolev inequalities with remainder terms

Haïm Brezis, Elliott H. Lieb

Journal:

Journal of Functional Analysis

Year:

1985

Language:

english

File:

PDF, 526 KB

english, 1985

39

Editorial

Moshe Flato, Elliott Lieb, Yau Shing-Tung

Journal:

Letters in Mathematical Physics

Year:

1992

File:

PDF, 21 KB

1992

40

Phase transitions in quantum spin systems with isotropic and nonisotropic interactions

Freeman J. Dyson, Elliott H. Lieb, Barry Simon

Journal:

Journal of Statistical Physics

Year:

1978

Language:

english

File:

PDF, 1.98 MB

english, 1978

41

Stability of coulomb systems with magnetic fields

Jürg Fröhlich, Elliott H. Lieb, Michael Loss

Journal:

Communications in Mathematical Physics

Year:

1986

Language:

english

File:

PDF, 1.22 MB

english, 1986

42

Valence bond ground states in isotropic quantum antiferromagnets

Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki

Journal:

Communications in Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 3.43 MB

english, 1988

43

On the lowest eigenvalue of the Laplacian for the intersection of two domains

Elliott H. Lieb

Journal:

Inventiones mathematicae

Year:

1983

Language:

english

File:

PDF, 401 KB

english, 1983

44

Entropy inequalities

Huzihiro Araki, Elliott H. Lieb

Journal:

Communications in Mathematical Physics

Year:

1970

Language:

english

File:

PDF, 497 KB

english, 1970

45

Theory of monomer-dimer systems

Ole J. Heilmann, Elliott H. Lieb

Journal:

Communications in Mathematical Physics

Year:

1972

Language:

english

File:

PDF, 2.17 MB

english, 1972

46

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

47

Ground states in non-relativistic quantum electrodynamics

Marcel Griesemer, Elliott H. Lieb, Michael Loss

Journal:

Inventiones mathematicae

Year:

2001

Language:

english

File:

PDF, 296 KB

english, 2001

48

The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei

Elliott H Lieb, Joel L Lebowitz

Journal:

Advances in Mathematics

Year:

1972

Language:

english

File:

PDF, 4.11 MB

english, 1972

49

Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

Lieb, Elliott H., Liniger, Werner

Journal:

Physical Review (Series I)

Year:

1963

Language:

english

File:

PDF, 941 KB

english, 1963

50

Rigorous results on valence-bond ground states in antiferromagnets

Affleck, Ian, Kennedy, Tom, Lieb, Elliott H., Tasaki, Hal

Journal:

Physical Review Letters

Year:

1987

Language:

english

File:

PDF, 160 KB

english, 1987