Remark on the solution of the Schrödinger equation for anharmonic oscillators via the Feynman path integral

DOI10.1007/BF00398715zbMath0524.35029OpenAlexW2007169295MaRDI QIDQ585458

Jorge Rezende

Publication date: 1983

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398715

zbMATH Keywords

Green's functionanharmonic oscillatorsFeynman path integral

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Schrödinger operator, Schrödinger equation (35J10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items

Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation, Generalized Fresnel integrals, The time-dependent quantum harmonic oscillator revisited: Applications to quantum field theory, The method of stationary phase for oscillatory integrals on Hilbert spaces

Cites Work

• On the cylindrical approximation of the Feynman path integral
• Feynman path integrals and the trace formula for the Schrödinger operators
• Mathematical theory of Feynman path integrals
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