Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization
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Publication:2344116
DOI10.1134/S1061920811040017zbMath1311.58006OpenAlexW2087390767MaRDI QIDQ2344116
O. G. Smolyanov, Björn Böttcher, Yana Kinderknecht, Rene L. Schilling
Publication date: 12 May 2015
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920811040017
Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)
Related Items (7)
Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation ⋮ The Method of Chernoff Approximation ⋮ LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS ⋮ Chernoff approximation of subordinate semigroups ⋮ Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations
Cites Work
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- On the construction of Feller processes with unbounded coefficients
- Feynman formula for a class of second-order parabolic equations in a bounded domain
- Dynamics of a quantum particle with discontinuous position-dependent mass
- Hamiltonian Feynman integrals for equations with the Vladimirov operator
- Feynman formulae for Feller semigroups
- The symbol associated with the solution of a stochastic differential equation
- Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass
- Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
- Phase space Feynman path integrals via piecewise bicharacteristic paths and their semiclassical approximations
- Feynman and Feynman-Kac formulas for evolution equations with Vladimirov operator
- Feynman formulas for particles with position-dependent mass
- Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
- A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
- Diffusion on compact Riemannian manifolds, and surface measures.
- Surface measures and initial boundary value problems generated by diffusions with drift
- Function integrals corresponding to a solution of the Cauchy-Dirichlet problem for the heat equation in a domain of a Riemannian manifold
- Mathematical theory of Feynman path integrals. An introduction
- THE PHASE SPACE FEYNMAN PATH INTEGRAL WITH GAUGE INVARIANCE AND ITS CONVERGENCE
- Quantum-mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II
- A white noise approach to phase space Feynman path integrals
- The Proof of the Feynman–Kac Formula for Heat Equation on a Compact Riemannian Manifold
- LAGRANGIAN FEYNMAN FORMULAS FOR SECOND-ORDER PARABOLIC EQUATIONS IN BOUNDED AND UNBOUNDED DOMAINS
- SMOLYANOV–WEIZSÄCKER SURFACE MEASURES GENERATED BY DIFFUSIONS ON THE SET OF TRAJECTORIES IN RIEMANNIAN MANIFOLDS
- APPROXIMATION OF FELLER PROCESSES BY MARKOV CHAINS WITH LÉVY INCREMENTS
- The L 2 -Boundedness of Pseudodifferential Operators
- Product formulas, nonlinear semigroups, and addition of unbounded operators
- Phase space Feynman path integrals
- Hamiltonian Feynman path integrals via the Chernoff formula
- LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS
- Feynman Integrals and the Schrödinger Equation
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- Hamiltonian Path-Integral Methods
- An Operator Calculus Having Applications in Quantum Electrodynamics
- Functional Integration
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