Probabilistic representation formulas for the time evolution of quantum systemsa)

DOI10.1063/1.530387zbMath0767.35070OpenAlexW2021950680MaRDI QIDQ4697274

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Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.530387

zbMATH Keywords

Dirac equationtransition probabilitiesCauchy problem for hyperbolic systemspath integral representation formula

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Diffusion processes (60J60) PDEs in connection with quantum mechanics (35Q40)

Cites Work

• Path integral for a hyperbolic system of the first order
• Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system
• Random-matrix model for dissipative two-level systems
• A soluble random-matrix model for relaxation in quantum systems.

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