A Semiclassical Transport Model for Thin Quantum Barriers

DOI10.1137/060653214zbMath1130.65087OpenAlexW2023082994MaRDI QIDQ5432393

Kyle A. Novak, Shih Jin

Publication date: 3 January 2008

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060653214

zbMATH Keywords

numerical examplesscatteringmultiscale methodsemiclassical limitstationary Schrödinger equationtransport modelquantum barrier

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications to the sciences (65Z05)

Related Items

Classical limit for the varying-mass Schrödinger equation with random inhomogeneities, Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials, A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials, A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials, The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients, A semiclassical transport model for two-dimensional thin quantum barriers, Gaussian beam methods for the Schrödinger equation with discontinuous potentials, Solution of generalized density evolution equation via a family of \(\delta\) sequences, Mathematical and computational methods for semiclassical Schrödinger equations