Self-adjointness of Schrödinger operator and Wiener integral

DOI10.1007/BF01203123zbMath0808.47037OpenAlexW2011433341MaRDI QIDQ1803931

M. S. Goldstein, M. D. Gaysinsky

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203123

zbMATH Keywords

Schrödinger operatorself-adjointness of the operator \(H= -\Delta+V\) and its powers \(H^ p\)Wiener's integrals

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Classical Banach spaces in the general theory (46B25) General theory of partial differential operators (47F05)

Related Items (1)

Analytic Feynman integral and a change of scale formula for Wiener integrals of an unbounded cylinder function

Cites Work

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• Limit theorem for the distribution of eigenvalues of the operator of energy
• Essential self-adjointness of Schrödinger operators with singular potentials
• Commutators and self-adjointness of Hamiltonian operators
• Schrödinger operators with singular potentials
• Essential self-adjointness of powers of generators of hyperbolic equations
• On the Asymptotic Behavior of the First Eigenvalue of a Second-Order Differential Operator with Small Parameter in Higher Derivatives
• On the essential self-adjointness of powers of Schrödinger-type operators
• Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume

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