Schrödinger operators with singular potentials and magnetic fields

DOI10.1070/SM2003V194N06ABEH000744zbMath1069.35064OpenAlexW2138264033MaRDI QIDQ4658212

Vassili N. Kolokol'tsov

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2003v194n06abeh000744

zbMATH Keywords

small-time asymptoticsSchrödinger equationsheat kernelbounded self-adjoint operatorFeynman path integral representation

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Path integrals in quantum mechanics (81S40) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field

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