Continuum calculus. IV. The Laplace transform method in the evaluation of the Feynman path integrals with a Gaussian measure and applications in quantum mechanics

DOI10.1063/1.524555zbMath0444.28015OpenAlexW2006727240MaRDI QIDQ3887714

L. L. Lee

Publication date: 1980

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524555

zbMATH Keywords

Laplace transformquantum mechanicsquantum harmonic oscillatorGaussian measurefree particleFeynman path integralsforced oscillatorweak distributioncontinuum calculuscharged particle in a magnetic field

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Continuum calculus. III. Skorohod’s weak distributions in the evaluation of a class of Feynman path integrals
• Calculation of special functional integrals
• Continuum calculus and Feynman’s path integrals
• Continuum calculus. II. The heterogeneous continuous functional differentiation applied to the Feynman path integral
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Functional Calculus Theory for Incompressible Fluid Turbulence

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