Non-negative Feynman–Kac kernels in Schrödinger’s interpolation problem

DOI10.1063/1.532004zbMath0870.35046arXivquant-ph/9507002OpenAlexW3125508012MaRDI QIDQ2785727

Piotr Garbaczewski, Robert Olkiewicz, Philippe Blanchard

Publication date: 25 February 1997

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9507002

zbMATH Keywords

Wiener functionalsMarkovian interpolating dynamicsSchrödinger boundary data problem

Mathematics Subject Classification ID

Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Second-order parabolic equations (35K10)

Related Items (4)

Feynman–Kac kernels in Markovian representations of the Schrödinger interpolating dynamics ⋮ Differential entropy and dynamics of uncertainty ⋮ Cauchy noise and affiliated stochastic processes ⋮ Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman–Kac (well) potentials

Cites Work

• Classical boundary conditions as a technical tool in modern mathematical physics
• Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations
• Conservative diffusions
• An automorphism of product measures
• On the convergence of diffusion processes conditioned to remain in a bounded region for large time to limiting positive recurrent diffusion processes
• Diffusion processes with singular drift fields
• Transformations of diffusion and Schrödinger processes
• Degenerate and non-degenerate ground states for Schrödinger operators
• Singular perturbation potentials
• On diffusions that cannot escape from a convex set
• A solution to Schrödinger's problem of nonlinear integral equations
• On the divergence of certain integrals of the Wiener process
• Variational processes and stochastic versions of mechanics
• On a construction of Markov processes associated with time dependent Dirichlet spaces
• Reciprocal processes
• Dirichlet forms and diffusion processes on rigged Hilbert spaces
• Feynman–Kac kernels in Markovian representations of the Schrödinger interpolating dynamics

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