Exact resolution method for general 1D polynomial Schrödinger equation

DOI10.1088/0305-4470/32/32/311zbMath0967.81013arXivmath-ph/9902016OpenAlexW3101398090MaRDI QIDQ4947721

André Voros

Publication date: 25 April 2000

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

Full work available at URL: https://arxiv.org/abs/math-ph/9902016

zbMATH Keywords

spectral determinantssextic potentialsbilinear (Wronskian) functional relationsBohr-Sommerfeld formcyclic group of complex scalingssymmetric quartic oscillatorssystem of (complex) exact quantization conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General mathematical topics and methods in quantum theory (81Q99)

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