On the BMV conjecture for \(2 \times 2\) matrices and the exponential convexity of the function \({\cosh (\sqrt{at^2+b})}\)

DOI10.1007/S11785-015-0513-4zbMath1386.15022arXiv1505.00084OpenAlexW2963751025WikidataQ115601941 ScholiaQ115601941MaRDI QIDQ522985

V. Eh. Katsnel'son

Publication date: 20 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00084

zbMATH Keywords

Pauli matricesBMV conjectureLie product formulaexponentially convex functions

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Laplace transform (44A10) Matrix exponential and similar functions of matrices (15A16)

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The Good Fortune of Maintaining a Long-Lasting Close Friendship and Scientific Collaboration with V. E. Katsnelson

Cites Work

• Unnamed Item
• Proof of the BMV conjecture
• The function \(\cosh {(\sqrt{a\,t^2+b})}\) is exponentially convex
• Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
• On an integral representation of the function Tr(exp(A-  B))
• Herbert Stahl's proof of the BMV conjecture
• What is the Laplace Transform?

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