Brownian motion in trapping enclosures: steep potential wells, bistable wells and false bistability of induced Feynman–Kac (well) potentials

DOI10.1088/1751-8121/ab91d4OpenAlexW3104200631MaRDI QIDQ5871318

Piotr Garbaczewski, Mariusz Żaba

Publication date: 19 January 2023

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

Full work available at URL: https://arxiv.org/abs/1906.06694

zbMATH Keywords

Brownian motionboundary databistable wellsFeynman-Kac potentialssteep wellstrapping enclosures

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Lévy processes in bounded domains: path-wise reflection scenarios and signatures of confinement

Cites Work

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• Lévy matters V. Functionals of Lévy processes
• The infinite well and Dirac delta function potentials as pedagogical, mathematical and physical models in quantum mechanics
• One-dimensional quasi-exactly solvable Schrödinger equations
• On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via flat solutions: the one-dimensional case
• Lévy flights in a steep potential well
• Exact, zero-energy, square-integrable solutions of a model related to the Maxwell's fish-eye problem
• A path space picture for Feynman-Kac averages
• Lévy-driven Langevin systems: targeted stochasticity
• Feynman-Kac-type theorems and Gibbs measures on path space. Vol. 1. Feynman-Kac-type formulae and Gibbs measures
• Spectral gap and rate of convergence to equilibrium for a class of conditioned Brownian motions
• Non-negative Feynman–Kac kernels in Schrödinger’s interpolation problem
• Lévy Flights in Inhomogeneous Media
• Solving fractional Schrödinger-type spectral problems: Cauchy oscillator and Cauchy well
• Spectral characteristics of steady-state Lévy flights in confinement potential profiles
• Sweetest taboo processes
• Nonperturbative square-well approximation to a quantum theory
• Nonlocally induced (fractional) bound states: Shape analysis in the infinite Cauchy well
• DOUBLE WELL POTENTIAL: PERTURBATION THEORY, TUNNELING, WKB (BEYOND INSTANTONS)
• Energy forms, Hamiltonians, and distorted Brownian paths
• Exact quantization condition for anharmonic oscillators (in one dimension)
• Stochastic Processes and Applications
• Feynman–Kac kernels in Markovian representations of the Schrödinger interpolating dynamics
• Nonlocal Random Motions and the Trapping Problem
• On the transition densities for reflected diffusions
• COMPARISON THEOREMS FOR THE SPECTRAL GAP OF DIFFUSION PROCESSES AND SCHRÖDINGER OPERATORS ON AN INTERVAL

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