Treatment of some singular potentials by change of variables in Wiener integrals

DOI10.1063/1.525075zbMath0467.70023OpenAlexW2085230224MaRDI QIDQ3920701

M. Sirugue, Philippe Blanchard

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525075

zbMATH Keywords

bilinear formsIto formulaCoulomb potentialsingular potentialstheorem of Hurwitzchange of variables in Wiener integrals

Mathematics Subject Classification ID

Related Items (10)

On the effective potential of Duru-Kleinert path integrals ⋮ Time substitutions in stochastic processes as a tool in path integration ⋮ Path reparametrization in a path integral on a finite-dimensional manifold ⋮ Path reparametrization in functional integrals on vector bundles ⋮ The functional–analytic versus the functional–integral approach to quantum Hamiltonians: The one-dimensional hydrogen atoma) ⋮ New aspects of the path integrational treatment of the Coulomb potential ⋮ Feynman integrals for a class of exponentially growing potentials ⋮ EXACTNESS IN THE PATH INTEGRAL OF THE COULOMB POTENTIAL IN ONE SPACE DIMENSION ⋮ Nonstationary generalized Duru-Kleinert transformation of path integrals for systems of differential equations in one-dimensional space ⋮ Path integral of the hydrogen atom, Jacobi's principle of least action and one-dimensional quantum gravity

Cites Work

• Poisson processes on groups and Feynman path integrals
• On the degeneracy of the Kepler problem
• Transformations of the schrödinger equation with discrete energy spectrum

This page was built for publication: Treatment of some singular potentials by change of variables in Wiener integrals