Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation
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Publication:2302345
DOI10.1007/s11118-018-9735-1zbMath1433.81084arXiv1710.08714OpenAlexW2890506872MaRDI QIDQ2302345
Publication date: 26 February 2020
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.08714
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Integral representations of solutions to PDEs (35C15) Schrödinger operator, Schrödinger equation (35J10) Schrödinger and Feynman-Kac semigroups (47D08) Initial value problems for higher-order hyperbolic systems (35L56)
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Chernoff approximations of Feller semigroups in Riemannian manifolds, Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space, Representation of solutions of the Cauchy problem for a one-dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae
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