Feynman path integrals and Lebesgue-Feynman measures
From MaRDI portal
Publication:2411803
DOI10.1134/S1064562417040226zbMath1377.81089arXiv1612.06657MaRDI QIDQ2411803
O. G. Smolyanov, James A. Montaldi
Publication date: 25 October 2017
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.06657
Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)
Related Items
Extension of the generalized Lebesgue-Feynman-Smolyanov measure on a Hilbert space ⋮ Persistence of stationary motion under explicit symmetry breaking perturbation ⋮ On generally covariant mathematical formulation of Feynman integral in Lorentz signature
Cites Work
- Unnamed Item
- Quantum anomalies and logarithmic derivatives of Feynman pseudomeasures
- Transformations of Feynman path integrals and generalized densities of Feynman pseudomeasures
- Shifts of Feynman measure along vector fields
- Transformations of Feynman integrals under nonlinear transformations of the phase space
- Transformations of measures via their generalized densities
- Path Integrals and Quantum Anomalies
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- An Operator Calculus Having Applications in Quantum Electrodynamics
- Functional Integration
