The Feynman integral and expansions in eigenfunctions of the Schrödinger operator

DOI10.1007/BF01085902zbMath0343.35018MaRDI QIDQ1232634

G. N. Gestrin

Publication date: 1976

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

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

Cites Work

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• The Feynman integral for singular Lagrangians
• Essential self-adjointness of Schrödinger operators with positive potentials
• Schrödinger operators with singular potentials
• One-parameter semigroups of isometric operators in Hilbert space
• Feynman Integrals and the Schrödinger Equation

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