Solutions of Schrödinger equations on compact Lie groups via probabilistic methods

DOI10.1023/A:1020548720016zbMath1012.22016OpenAlexW2159766595MaRDI QIDQ1868134

Horst Thaler

Publication date: 27 April 2003

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020548720016

zbMATH Keywords

Lie groupsSchrödinger equationMarkov process\(C_0\)-semigroupscomplexification

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analysis on real and complex Lie groups (22E30) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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On a probabilistic approach to the Schrödinger equation with a time-dependent potential ⋮ Limit theorems for symmetric random walks and probabilistic approximation of the Cauchy problem solution for Schrödinger type evolution equations ⋮ The Doss trick on symmetric spaces

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