A positivity property of a quantum anharmonic oscillator suggested by the BMV conjecture

DOI10.1007/S11785-015-0458-7zbMath1342.82012arXiv1410.4965OpenAlexW2012304885WikidataQ122923720 ScholiaQ122923720MaRDI QIDQ285490

V. Eh. Katsnel'son

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1410.4965

zbMATH Keywords

absolutely monotonic functionsBMV conjecturequantum anharmonic oscillator

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Compact Riemann surfaces and uniformization (30F10) Laplace transform (44A10) Quantum equilibrium statistical mechanics (general) (82B10) Matrix exponential and similar functions of matrices (15A16)

Cites Work

• Proof of the BMV conjecture
• Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
• Herbert Stahl's proof of the BMV conjecture
• On the asymptotic distribution of eigenvalues
• What is the Laplace Transform?

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