On the representation of Tr(e(A-λB)) as a laplace transform

Reviews in Mathematical Physics

Volumn 12, Issue 4, 2000, Pages 621-655

  Moussa, Pierre ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038049407     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0129055x00000204     Document Type: Article

References (14)

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2. P. Moussa, "Tr[exp(A - λB)] as a Laplace transform, in Polynômes orthogonaux et applications, Problem Section", Springer Lect. Notes in Math. 1171 (1980) 579-580.
3. -A considérée comme fonction de la diagonale de A", Ann. Inst. Henri Poincaré, Sect. A, 28 (1978) 431-442.
4. M. L. Mehta and K. Kumar, "On an integral representation of the function Tr[exp(A -λB)]", J. Phys. A: Math. Gen. 9 (1976) 197-206.
5. M. Suzuki, "Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems", Commun. Math. Phys. 51 (1976) 183-190.
6. M. Froissart, private communication, 1976.
7. D. Widder, The Laplace Transform, Princeton Univ. Press, 1946, pp. 160-161.
8. K. J. Le Couteur, "Representation of the function Tr(exp(A - λB)) as a Laplace transform with positive weight and some matrix inequalities", J. Phys. A: Math. Gen. 13 (1980) 3147-3159.
9. K. J. Le Couteur, "Some problems of statistical mechanics and exponential operators", in Proc. Int. Conference and Winter School of Frontiers of Theoretical Physics, eds. F. C. Auluck, L. S. Kothari, V. S. Nanda, Indian National Academy, New Dehli, 1977, published by The Mac Millan Company of India, 1978, pp. 209-235.
10. E. Lieb, private communication, 1982.
11. F. Dyson, E. Lieb and B. Simon, "Phase transitions in quantum spin systems with isotropic and nonisotropic interactions", J. Stat. Phys. 18 (1978) 335-383.
12. G. A. Mezincescu, "On a Conjecture by Dyson, Lieb, and Simon" in Topics in Theoretical Physics, a volume dedicated to Serban Titeica, ed. by Central Institute of Physics, Bucharest, Romania, 1978, pp. 1-6.
13. K. J. Le Couteur, unpublished, and private communication, 1993.
14. For a definition of the Pauli matrices, see any textbook on quantum mechanics, for instance, A. Messiah, Quantum Mechanics, North Holland, Chapter XIII, 1961.