Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals

DOI10.1134/S0001434613110175zbMath1285.81028OpenAlexW2072649049MaRDI QIDQ2439988

A. K. Kravtseva

Publication date: 26 March 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434613110175

zbMATH Keywords

Cauchy problemevolution equationGaussian measurepolynomial potentialFeynman integralinfinite-dimensional Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (1)

Notes on functional integration

Cites Work

• Unnamed Item
• Fourier transforms of distributions of homogeneous random fields with independent increments and complex Markov-Maslov chains
• The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials
• Some methods for quantizing finite-dimensional Hamiltonian systems with constraints
• Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold
• Inversion of Chernoff's theorem
• Hamiltonian Feynman path integrals via the Chernoff formula

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