Diffusion and quantum dynamics of particles with position-dependent mass
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Publication:1761053
DOI10.1134/S1064562412040060zbMath1276.82065MaRDI QIDQ1761053
O. G. Smolyanov, V. Zh. Sakbaev
Publication date: 15 November 2012
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) Statistical mechanics of semiconductors (82D37)
Related Items (4)
Self-adjoint approximations of the degenerate Schrödinger operator ⋮ Diffusion and quantum dynamics on graphs ⋮ Non-Gaussian Lagrangian Feynman-Kac formulas ⋮ Chernoff approximation of subordinate semigroups
Cites Work
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- Dynamics of a quantum particle with discontinuous position-dependent mass
- 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
- Spectral aspects of regularization of the Cauchy problem for a degenerate equation
- STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS
- Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerating coefficients
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