Variational Methods in Statistical Mechanics

作者: M. D. Girardeau , R. M. Mazo

DOI: 10.1002/9780470143766.CH4

关键词: Thermodynamic potentialCalculusConvexityLog sum inequalityMathematicsApplied mathematicsGolden–Thompson inequalityStatistical mechanicsGibbs' inequality

摘要:

参考文章(68)
P. Jordan, E. Wigner, Über das Paulische Äquivalenzverbot European Physical Journal. ,vol. 47, pp. 631- 651 ,(1928) , 10.1007/BF01331938
R. Peierls, On a Minimum Property of the Free Energy Physical Review. ,vol. 54, pp. 918- 919 ,(1938) , 10.1103/PHYSREV.54.918
N.David Mermin, STABILITY OF THE THERMAL HARTREE-FOCK APPROXIMATION Annals of Physics. ,vol. 21, pp. 99- 121 ,(1963) , 10.1016/0003-4916(63)90226-4
Robert H. T. Yeh, Derivation of a Lower Bound on the Free Energy Journal of Mathematical Physics. ,vol. 11, pp. 1521- 1521 ,(1970) , 10.1063/1.1665290
John E. Kilpatrick, A Quantum‐Mechanical Treatment of Virial Coefficients The Journal of Chemical Physics. ,vol. 21, pp. 274- 278 ,(1953) , 10.1063/1.1698873
J. T. Hunt, M. D. Girardeau, Anisotropic Heisenberg Linear Chain at Nonzero Temperature Physical Review. ,vol. 160, pp. 455- 462 ,(1967) , 10.1103/PHYSREV.160.455
J. v. Neumann, Die Eindeutigkeit der Schrödingerschen Operatoren Mathematische Annalen. ,vol. 104, pp. 570- 578 ,(1931) , 10.1007/BF01457956
M. D. Girardeau, Variational Principle of Gibbs and Bogolubov The Journal of Chemical Physics. ,vol. 41, pp. 2945- 2946 ,(1964) , 10.1063/1.1726379
William G. Hoover, Bounds on the Configurational Integral for Hard Parallel Squares and Cubes The Journal of Chemical Physics. ,vol. 43, pp. 371- 374 ,(1965) , 10.1063/1.1696754
Hiromi Yamakawa, Some Further Comments on the SCF Theory of the Excluded Volume Effect in Polymers Journal of Chemical Physics. ,vol. 54, pp. 2484- 2487 ,(1971) , 10.1063/1.1675203