Absorbing boundary conditions for the simulation of quantum transport phenomena. (English) Zbl 0703.35163

Authors’ summary: “Absorbing boundary conditions for the transport equation governing the time evolution of the Wigner distribution function are derived. Local approximations are given which can be used to simulate quantum transport phenomena numerically on a finite domain and a numerical test example is presented.”
Reviewer: P.Hillion


35Q60 PDEs in connection with optics and electromagnetic theory
35S15 Boundary value problems for PDEs with pseudodifferential operators
81V10 Electromagnetic interaction; quantum electrodynamics
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
Full Text: DOI


[1] Shubin, A. 1986. ”Pseudodifferential Operators and Spectral Theory”. Springer Verlag.
[2] Wigner E., Phys. Rev. 40 pp pp749– (1932)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.