Feynman–Kac kernels in Markovian representations of the Schrödinger interpolating dynamics

DOI10.1063/1.531412zbMath0869.60101arXivquant-ph/9505012OpenAlexW2088896197MaRDI QIDQ5284410

Piotr Garbaczewski, Robert Olkiewicz

Publication date: 5 August 1997

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9505012

zbMATH Keywords

quantum evolutionSchrödinger boundary data problemFeynman-Kac kernelstatistical interpretation postulate in quantum theory

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items

Quantum damped oscillator. I: Dissipation and resonances ⋮ Schrödinger's interpolating dynamics and Burgers' flows ⋮ Quantization and instability of the damped harmonic oscillator subject to a time-dependent force ⋮ Non-negative Feynman–Kac kernels in Schrödinger’s interpolation problem ⋮ Differential entropy and dynamics of uncertainty ⋮ Cauchy noise and affiliated stochastic processes ⋮ Stochastic models of exotic transport ⋮ Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman–Kac (well) potentials

Cites Work

• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Non-negative Feynman–Kac kernels in Schrödinger’s interpolation problem
• Functional Integration and Partial Differential Equations. (AM-109)
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