ON THE REPRESENTATION OF Tr(e(A-λB)) AS A LAPLACE TRANSFORM

DOI10.1142/S0129055X00000204zbMath0976.82027MaRDI QIDQ4519845

Pierre Moussa

Publication date: 4 December 2000

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Laplace transformtracepositive measure

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Laplace transform (44A10) Equilibrium statistical mechanics (82B99)

Related Items (8)

On D. Hägele's approach to the Bessis-Moussa-Villani conjecture ⋮ Perturbation of Wigner matrices and a conjecture ⋮ Proof of the cases \(p \leq 7\) of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture ⋮ Proof of the BMV conjecture ⋮ Advances on the Bessis-Moussa-Villani trace conjecture ⋮ Sums of Hermitian squares and the BMV conjecture ⋮ A new series of conjectures and open questions in optimization and matrix analysis ⋮ A note on the nonexistence of sum of squares certificates for the Bessis–Moussa–Villani conjecture

Cites Work

• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
• Representation of the function Tr(exp(A - λB)) as a Laplace transform with positive weight and some matrix inequalities
• On an integral representation of the function Tr(exp(A-  B))

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