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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

MSC:
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
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References:
[1] Shubin, A. 1986. ”Pseudodifferential Operators and Spectral Theory”. Springer Verlag.
[2] Wigner E., Phys. Rev. 40 pp pp749– (1932)
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