Dynamics of a quantum particle with discontinuous position-dependent mass

DOI10.1134/S1064562410040332zbMath1200.81054MaRDI QIDQ600766

V. G. Sakbaev, O. G. Smolyanov

Publication date: 1 November 2010

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

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (7)

Diffusion and quantum dynamics on graphs ⋮ Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian ⋮ Diffusion and quantum dynamics of particles with position-dependent mass ⋮ Regularization of Schrödinger groups and semigroups ⋮ Feynman formulae and phase space Feynman path integrals for tau-quantization of some Lévy-Khintchine type Hamilton functions ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations ⋮ Feynman formulas and path integrals for some evolution semigroups related to \(\tau\)-quantization

Cites Work

• Self-adjoint Hamiltonians with a mass jump: general matching conditions
• Note on product formulas for operator semigroups
• Hamiltonian Feynman path integrals via the Chernoff formula

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