Quasi-Feynman formulas providing solutions of multidimensional Schrödinger equations with unbounded potential

DOI10.1134/S0001434618110214zbMath1410.81018OpenAlexW2908167201MaRDI QIDQ668303

M. F. Starodubtseva, Ivan D. Remizov

Publication date: 19 March 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618110214

zbMATH Keywords

Schrödinger equationunbounded potentialformula for solutionsolution of Cauchy problem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Initial value problems for systems of linear higher-order PDEs (35G40)

Related Items (4)

The Method of Chernoff Approximation ⋮ Speed of convergence of Chernoff approximations to solutions of evolution equations ⋮ Reduced dynamics of the Wigner function ⋮ Representation of solutions of the Cauchy problem for a one-dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae

Cites Work

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• Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation
• SCHRODINGER TYPE SEMIGROUPS VIA FEYNMAN FORMULAE AND ALL THAT
• One-Parameter Semigroups for Linear Evolution Equations
• Hamiltonian Feynman path integrals via the Chernoff formula

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