SCHRODINGER TYPE SEMIGROUPS VIA FEYNMAN FORMULAE AND ALL THAT

DOI10.1142/9789814460026_0026zbMath1354.47030OpenAlexW2484428383MaRDI QIDQ3451801

O. G. Smolyanov

Publication date: 18 November 2015

Published in: Quantum Bio-Informatics V (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814460026_0026

zbMATH Keywords

Feynman formulasSchrödinger semigroupsFeynman-Kac semigroupsChernoff approximation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear differential equations in abstract spaces (34G10) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items

Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation, New method for constructing Chernoff functions, Chernoff approximations of Feller semigroups in Riemannian manifolds, Quasi-Feynman formulas providing solutions of multidimensional Schrödinger equations with unbounded potential, Chernoff approximation of subordinate semigroups, Solution of the Schrödinger equation with the use of the translation operator, Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation, Representation of solutions of the Cauchy problem for a one-dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae