Quantum mechanical propagators in terms of Hida distributions

DOI10.1016/0034-4877(93)90057-LzbMath0808.60039arXivmath-ph/0303012MaRDI QIDQ1340749

Angelika Lascheck, Werner Westerkamp, Ludwig Streit, Peter Leukert

Publication date: 27 March 1995

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0303012

zbMATH Keywords

white noise analysisSchrödinger equationFeynman integralsgeneralized white noise functional

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Generalized stochastic processes (60G20) Path integrals in quantum mechanics (81S40)

Related Items (12)

The time-dependent quartic oscillator --- a Feynman path integral approach ⋮ On a dual pair of spaces of smooth and generalized random variables ⋮ Path integrals for boundaries and topological constraints: A white noise functional approach ⋮ Local times for multifractional Brownian motion in higher dimensions: A white noise approach ⋮ The Feynman integral for time-dependent anharmonic oscillators ⋮ Quadratic actions, semi-classical approximation, and delta sequences in Gaussian analysis. ⋮ Feynman Integrals for a New Class of Time-Dependent Exponentially Growing Potentials ⋮ WHITE NOISE ANALYSIS: SOME APPLICATIONS IN COMPLEX SYSTEMS, BIOPHYSICS AND QUANTUM MECHANICS ⋮ Mittag-Leffler analysis. I: Construction and characterization ⋮ Feynman integrals for a class of exponentially growing potentials ⋮ FUNCTIONAL-INTEGRAL SOLUTION FOR THE SCHRÖDINGER EQUATION WITH POLYNOMIAL POTENTIAL: A WHITE NOISE APPROACH ⋮ Feynman integrals for nonsmooth and rapidly growing potentials

Cites Work

• Calculus on Gaussian white noise. II
• A characterization of Hida distributions
• The Feynman integrand as a Hida distribution
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