Zeta-regularization for exact-WKB resolution of a general 1D Schrödinger equation

DOI10.1088/1751-8113/45/37/374007zbMath1252.81056arXiv1202.3100OpenAlexW2025555302MaRDI QIDQ2920315

André Voros

Publication date: 16 October 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3100

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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