Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates
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Publication:416869
DOI10.1134/S1064562411070209zbMath1241.81077OpenAlexW1976094942MaRDI QIDQ416869
D. S. Tolstyga, O. G. Smolyanov, Heinrich von Weizsäcker
Publication date: 10 May 2012
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562411070209
Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Schrödinger and Feynman-Kac semigroups (47D08)
Related Items (7)
Representation of solutions of evolution equations on a ramified surface by Feynman formulae ⋮ Diffusion and quantum dynamics on graphs ⋮ Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains ⋮ Feynman formulas for solutions to evolution equations in domains of multidimensional ramified surfaces ⋮ Chernoff approximation of subordinate semigroups ⋮ 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
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- Self-adjoint Hamiltonians with a mass jump: general matching conditions
- Feynman formulas generated by self-adjoint extensions of the Laplacian
- Feynman formulas for particles with position-dependent mass
- The surface limit of Brownian motion in tubular neighborhoods of an embedded Riemannian manifold.
- Surface measures and initial boundary value problems generated by diffusions with drift
- Note on product formulas for operator semigroups
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