Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass
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Publication:649917
DOI10.1007/s10773-010-0538-4zbMath1226.81114OpenAlexW1997971369MaRDI QIDQ649917
O. G. Smolyanov, Rene L. Schilling, Yana Kinderknecht
Publication date: 25 November 2011
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-010-0538-4
Feynman path integralsFeynman-Kac formulaeapproximations of functional integralsapproximations of transitional densitiesFeynman formulaeparticles with variable mass
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Cites Work
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- Feynman formula for a class of second-order parabolic equations in a bounded domain
- Self-adjoint Hamiltonians with a mass jump: general matching conditions
- Feynman formulae for Feller semigroups
- Feynman formulas generated by self-adjoint extensions of the Laplacian
- Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
- Feynman formulas for particles with position-dependent mass
- Diffusion on compact Riemannian manifolds, and surface measures.
- Surface measures and initial boundary value problems generated by diffusions with drift
- Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold
- Product formulas, nonlinear semigroups, and addition of unbounded operators
- Hamiltonian Feynman path integrals via the Chernoff formula
- Feynman Integrals and the Schrödinger Equation
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- On Distributions of Certain Wiener Functionals
- An Operator Calculus Having Applications in Quantum Electrodynamics