Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent

DOI10.1134/S1061920816040063zbMath1361.81057MaRDI QIDQ519750

O. G. Smolyanov, A. K. Kravtseva, Eugene T. Shavgulidze

Publication date: 5 April 2017

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

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Continuation of analytic objects in several complex variables (32D15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (3)

Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Explicit formula for evolution semigroup for diffusion in Hilbert space

Cites Work

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• Infinite-dimensional evolution equations and the representation of their solutions in the form of Feynman integrals
• Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains
• Non-Gaussian Lagrangian Feynman-Kac formulas
• Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals
• Feynman-Kac and Feynman formulas for infinite-dimensional equations with Vladimirov operator
• Sur une résolution stochastique de l'équation de Schrödinger à coefficients analytiques
• Schrödinger-Belavkin equations and associated Kolmogorov and Lindblad equations
• Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold

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