We define “Wigner envelope functions” as the Wigner transform of density matrices built from Wannier–Slater envelope functions. Starting from this definition, it is possible to write Wigner-like effective-mass, multi-band equations which describe the transport of electron in semiconductor heterostructures. The well-posedness of initial value problems for such equations is discussed.
Wigner envelope functions for electron transport in semiconductor devices / L. BARLETTI. - In: TRANSPORT THEORY AND STATISTICAL PHYSICS. - ISSN 0041-1450. - STAMPA. - 32(3/4):(2003), pp. 253-277. [10.1081/TT-120024764]
Wigner envelope functions for electron transport in semiconductor devices
BARLETTI, LUIGI
2003
Abstract
We define “Wigner envelope functions” as the Wigner transform of density matrices built from Wannier–Slater envelope functions. Starting from this definition, it is possible to write Wigner-like effective-mass, multi-band equations which describe the transport of electron in semiconductor heterostructures. The well-posedness of initial value problems for such equations is discussed.
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