Feynman formulas generated by self-adjoint extensions of the Laplacian

DOI10.1134/S1064562409030090zbMath1175.81106OpenAlexW2143198937MaRDI QIDQ736008

Heinrich von Weizsäcker, O. G. Smolyanov

Publication date: 26 October 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409030090

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40)

Related Items (7)

Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian ⋮ Representation of regularized traces of operators by functional integrals ⋮ Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates ⋮ Feynman formulas for the diffusion of particles with position-dependent mass ⋮ Hamiltonian Feynman-Kac and Feynman formulae for dynamics of particles with position-dependent mass ⋮ Diffusion and quantum dynamics of particles with position-dependent mass ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations

Cites Work

• Unnamed Item
• Self-adjoint Hamiltonians with a mass jump: general matching conditions
• 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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