Convergence of Dirichlet forms and associated Schrödinger operators

DOI10.1016/0022-1236(86)90002-9zbMath0633.47027OpenAlexW2064228244MaRDI QIDQ1096156

Ludwig Streit, Shigeo Kusuoka, Sergio A. Albeverio

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90002-9

zbMATH Keywords

Markov semigroupHamiltonianBrownian motionSchrödinger operatordiffusion processDirichlet formpositivity preserving semigroupenergy formpositive self-adjoint energy operator

Mathematics Subject Classification ID

Brownian motion (60J65) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Point transfer matrices for the Schrödinger equation: the algebraic theory ⋮ Tightness property for symmetric diffusion processes ⋮ Convergence of time changed skew product diffusion processes ⋮ Existence of nonnegative solutions for parabolic problem on Dirichlet forms ⋮ Weak convergence of diffusion processes on Wiener space ⋮ The heat equation for local Dirichlet forms: existence and blow up of nonnegative solutions ⋮ Strong solutions of stochastic equations with singular time dependent drift ⋮ On the Dirichlet form of three-dimensional Brownian motion conditioned to hit the origin ⋮ Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures

Cites Work

• The essential self-adjointness of generalized Schrödinger operators
• Capacity and quantum mechanical tunneling
• On the connection between Schrödinger and Dirichlet forms
• Perturbation of Schrödinger Hamiltonians by measures—Self-adjointness and lower semiboundedness
• Regularization of Hamiltonians and processes
• Energy forms, Hamiltonians, and distorted Brownian paths
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