Manifestation of classical instability in the quantum density of states of a double well potential

DOI10.1016/J.PHYSLETA.2023.129014zbMath1530.81010OpenAlexW4384207636MaRDI QIDQ6166611

D. J. Nader, J. R. Hernández-González, H. Vázquez-Sánchez, Sergio Lerma-Hernández

Publication date: 3 August 2023

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2023.129014

zbMATH Keywords

Lyapunov exponentsanharmonic oscillatorclassical correspondence

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Critical phenomena in equilibrium statistical mechanics (82B27) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Surgery obstructions, Wall groups (57R67) Dynamical systems involving relations and correspondences in one complex variable (37F05) Tunneling in quantum theory (81U26)

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