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Book Review
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Book Information
Author:
Elliott H. Lieb and Robert Seiringer
Title:
The stability of matter in quantum mechanics
Additional book information
Cambridge University Press,
Cambridge,
2010, xv+293 pp., ISBN 978-0-521-19118-0.
References
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Illinois J. Math. 24 (1980), no. 4, 645–652. MR 586803
(82j:81065)
- 2.
Chandrasekhar, Subramanyan, The density of white dwarfstars, Phil. Mag. 11, 592-596 (1931).
- 3.
Freeman
J. Dyson, Ground-state energy of a finite system of charged
particles, J. Math. Phys. 8 (1967), no. 8,
1538–1545. MR 2408895
(2010c:81279), http://dx.doi.org/10.1063/1.1705389
- 4.
Freeman
J. Dyson and A.
Lenard, Stability of matter. I, J. Math. Phys.
8 (1967), no. 3, 423–434. MR 2408896
(2010e:81266), http://dx.doi.org/10.1063/1.1705209
- 5.
Michael
E. Fisher and David
Ruelle, The stability of many-particle systems, J.
Mathematical Phys. 7 (1966), 260–270. MR 0197133
(33 #5315)
- 6.
Elliott
H. Lieb, The stability of matter, Rev. Modern Phys.
48 (1976), no. 4, 553–569. MR 0456083
(56 #14314)
- 7.
Elliott
H. Lieb and Joel
L. Lebowitz, The constitution of matter: Existence of
thermodynamics for systems composed of electrons and nuclei, Advances
in Math. 9 (1972), 316–398. MR 0339751
(49 #4508)
- 8.
Lieb, Elliott H. and Thirring, Walter E., Bound for the kinetic energy of fermions which proves the stability of matter, Phys. Rev. Lett. 35, 687-689 (1975).
- 9.
Lieb, Elliott H. and Thirring, Walter E., Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities, in Studies in Mathematical Physics, E. Lieb, B. Simon, A. Wightman, eds., Princeton University Press, 269-303 (1976).
- 10.
Elliott
H. Lieb and Walter
E. Thirring, Gravitational collapse in quantum mechanics with
relativistic kinetic energy, Ann. Physics 155 (1984),
no. 2, 494–512. MR 753345
(86g:81037), http://dx.doi.org/10.1016/0003-4916(84)90010-1
- 11.
Elliott
H. Lieb and Horng-Tzer
Yau, The Chandrasekhar theory of stellar collapse as the limit of
quantum mechanics, Comm. Math. Phys. 112 (1987),
no. 1, 147–174. MR 904142
(89b:82014)
- 12.
Elliott
H. Lieb and Horng-Tzer
Yau, The stability and instability of relativistic matter,
Comm. Math. Phys. 118 (1988), no. 2, 177–213.
MR 956165
(90c:81251)
- 13.
Onsager, Lars, Electrostatic interaction of molecules, Jour. Phys. Chem. 43, 189-196 (1939).
- 14.
Michel
Rumin, Spectral density and Sobolev inequalities for pure and mixed
states, Geom. Funct. Anal. 20 (2010), no. 3,
817–844. MR 2720233
(2011m:31014), http://dx.doi.org/10.1007/s00039-010-0075-6
- 15.
Rumin, Michel, Balanced distribution-energy inequalities and related entropy bounds, Duke Math Journal, to appear.
- 16.
Barry
Simon, Functional integration and quantum physics, 2nd ed.,
AMS Chelsea Publishing, Providence, RI, 2005. MR 2105995
(2005f:81003)
- 17.
Walter
Thirring, Quantum mathematical physics, 2nd ed.,
Springer-Verlag, Berlin, 2002. Atoms, molecules and large systems;
Translated from the 1979 and 1980 German originals by Evans M. Harrell II.
MR
2133871 (2006b:81368)
Review Information
Reviewer:
Jan Philip Solovej
Affiliation:
University of Copenhagen
Email:
solovej@math.ku.dk
Journal:
Bull. Amer. Math. Soc.
DOI:
http://dx.doi.org/10.1090/S0273-0979-2011-01366-0
PII:
S 0273-0979(2011)01366-0
Posted:
December 12, 2011
Review copyright:
© Copyright 2011 American Mathematical Society
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