Notes on functional integration

DOI10.1007/s10958-021-05499-9zbMath1471.81060OpenAlexW3195593027MaRDI QIDQ1979507

Yanyan Li

Publication date: 3 September 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05499-9

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Feynman diagrams (81T18) Path integrals in quantum mechanics (81S40) Loop spaces (55P35) Applications of functional analysis to differential and integral equations (46N20)

Cites Work

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• Heat kernel: proper-time method, Fock-Schwinger gauge, path integral, and Wilson line
• Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals
• Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On Distributions of Certain Wiener Functionals

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