Inflow Boundary Conditions in Quantum Transport Theory | Zendy

Horst Lange | Zendy; B. Toomire | Zendy; P. F. Zweifel | Zendy

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Inflow Boundary Conditions in Quantum Transport Theory

Author(s) -

Horst Lange,

B. Toomire,

P. F. Zweifel

Publication year - 1998

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/1999/84905

Subject(s) - inflow , uniqueness , recursion (computer science) , boundary value problem , relaxation (psychology) , boundary (topology) , mathematics , current (fluid) , mathematical analysis , physics , mechanics , thermodynamics , algorithm , psychology , social psychology

A linear (given potential) steady-state Wigner equation is considered in conjunction with inflow boundary conditions and relaxation-time terms. A brief review of the use of inflow conditions in the classical case is also discussed. An analytic expansion of solutions is shown and a recursion relation derived for the given problem under certain regularity assumptions on the given inflow data. The uniqueness of the physical current of the solutions is shown and a brief discussion of the lack of charge conservation associated with the relaxation-time is given.

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