Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains
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Publication:393857
DOI10.1134/S1064562413050153zbMath1280.81049MaRDI QIDQ393857
O. G. Smolyanov, D. S. Tolstyga
Publication date: 24 January 2014
Published in: Doklady Mathematics (Search for Journal in Brave)
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Markov semigroups and applications to diffusion processes (47D07) Schrödinger and Feynman-Kac semigroups (47D08)
Related Items (6)
Representation of solutions of evolution equations on a ramified surface by Feynman formulae ⋮ Feynman formulas for solutions to evolution equations in domains of multidimensional ramified surfaces ⋮ Chernoff approximation of subordinate semigroups ⋮ Asymptotic expansions of Feynman integrals of exponentials with polynomial exponent ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations ⋮ Feynman formulas for solutions of evolution equations on ramified surfaces
Cites Work
- Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates
- Self-adjoint Hamiltonians with a mass jump: general matching conditions
- Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
- Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
- Feynman formulas for particles with position-dependent mass
- Feynman formula for Schrödinger-type equations with time- and space-dependent coefficients
- One-Parameter Semigroups for Linear Evolution Equations
- Hamiltonian Feynman path integrals via the Chernoff formula
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