Stochastic quantization of time-dependent systems by the Haba and Kleinert method

DOI10.1007/s10773-005-3987-4zbMath1082.81053OpenAlexW2009499221MaRDI QIDQ2575476

F. Haas

Publication date: 12 December 2005

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-005-3987-4

zbMATH Keywords

harmonic functionrandom fieldquantum mechanicswhite noisetime-dependent harmonic oscillator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) White noise theory (60H40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stochastic quantization (81S20)

Cites Work

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• The Gamow vectors and the Schwinger effect
• Quantum trajectories, state diffusion, and time-asymmetric eventum mechanics
• A simple counterexample to Kouchnirenko's conjecture
• Schrödinger equation with time-dependent boundary conditions
• Noether symmetries for two-dimensional charged particle motion
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
• Quantum mechanics and Brownian motions
• Schrödinger wave functions from classical trajectories

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