Feynman integrals for a class of exponentially growing potentials

DOI10.1063/1.532520zbMath0934.58014arXivmath-ph/0303022OpenAlexW3098948093MaRDI QIDQ4701658

Tobias Kuna, Ludwig Streit, Werner Westerkamp

Publication date: 10 April 2000

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

Full work available at URL: https://arxiv.org/abs/math-ph/0303022

zbMATH Keywords

Morse potentialFeynman integralsexponentially growing time-dependent potentials

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30)

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Cites Work

• Sur une résolution stochastique de l'équation de Schrödinger à coefficients analytiques
• A characterization of Hida distributions
• Quantum mechanical propagators in terms of Hida distributions
• Generalized functionals in Gaussian spaces: The characterization theorem revisited
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• Treatment of some singular potentials by change of variables in Wiener integrals
• The Feynman integrand as a Hida distribution
• Changing dimension and time: two well-founded and practical techniques for path integration in quantum physics
• The Feynman integral for time-dependent anharmonic oscillators

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