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Volumn 376, Issue 1-3, 2004, Pages 265-273

Matrix inequalities in statistical mechanics

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FREE ENERGY; INTEGER PROGRAMMING; STATISTICAL METHODS;

EID: 0142062450     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2003.07.004     Document Type: Article
Times cited : (29)

References (20)
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    • Ando, T.1    Hiai, F.2
  • 2
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  • 4
    • 0142076663 scopus 로고
    • Inequalities for the trace of matrix exponentials
    • Bernstein D.S. Inequalities for the trace of matrix exponentials. SIAM J. Matrix Anal. Appl. 9:1988;156-158.
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 156-158
    • Bernstein, D.S.1
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    • Spectral inequalities for matrix exponentials
    • Cohen J.E. Spectral inequalities for matrix exponentials. Linear Algebra Appl. 111:1988;25-28.
    • (1988) Linear Algebra Appl. , vol.111 , pp. 25-28
    • Cohen, J.E.1
  • 8
    • 0000313233 scopus 로고
    • Lower bounds for the Helmholtz function
    • Golden S. Lower bounds for the Helmholtz function. Phys. Rev. 137:1965;B1127-B1128.
    • (1965) Phys. Rev. , vol.137
    • Golden, S.1
  • 9
    • 2442597136 scopus 로고
    • The Golden-Thompson trace inequality is complemented
    • Hiai F., Petz D. The Golden-Thompson trace inequality is complemented. Linear Algebra Appl. 181:1993;153-185.
    • (1993) Linear Algebra Appl. , vol.181 , pp. 153-185
    • Hiai, F.1    Petz, D.2
  • 11
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    • An inequality of Araki-Lie-Thirring (von Neumann algebra case)
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    • (1992) Proc. Amer. Math. Soc. , vol.114 , pp. 477-481
    • Kosaki, H.1
  • 12
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    • Reading, MA: Addison-Wesley Publishing Company, Inc.
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    • (1958) Statistical Physics , pp. 100
    • Landau, L.D.1    Lifshitz, E.M.2
  • 13
    • 0142076664 scopus 로고    scopus 로고
    • Dissertação de Mestrado, Departamento de Matemática, Universidade de Coimbra
    • R. Lemos, Desigualdades Espectrais e Majoração Logarítmica, Dissertação de Mestrado, Departamento de Matemática, Universidade de Coimbra, 1998.
    • (1998) Desigualdades Espectrais e Majoração Logarítmica
    • Lemos, R.1
  • 16
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    • Convexity inequalities for estimating free energy and relative entropy
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    • Ruskai, M.B.1    Stillinger, F.M.2
  • 17
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    • Proof and refinments of an inequality of Feynman
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    • Inequality with applications in statistical mechanics
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.