Product Formula for Resolvents of Normal Operators and the Modified Feynman Integral

DOI10.2307/2048088zbMath0718.47023OpenAlexW4245955584MaRDI QIDQ5749852

Michel L. Lapidus, António de Bivar Weinholtz

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048088

zbMATH Keywords

Schrödinger operatorsmodified Feynman integralimaginary resolventsTrotter-like product formula

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator algebras to the sciences (47L90) Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (3)

Equation of motion and general solution for the one-dimensional complex cell response in the signal-tuned approach ⋮ Dominated semigroups with singular complex potentials ⋮ Algebraic sum of unbounded normal operators and the square root problem of Kato

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Perturbation theory and a dominated convergence theorem for Feynman integrals
• Product formula for imaginary resolvents with application to a modified Feynman integral
• Open quantum systems and Feynman integrals
• Remarks on the Schrödinger operator with singular complex potentials
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• Feynman Integrals and the Schrödinger Equation
• Schrödinger operators with singular magnetic vector potentials
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