1987
DOI: 10.1103/physrevb.36.5953
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Scattering states and distribution functions for microstructures

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Cited by 74 publications
(12 citation statements)
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“…The corresponding set of eigenstates of H 0 is used to obtain the appropriate form of the evolution equation and to define the initial boundary conditions. An electronic device with contacts is an open system, and it has been recognized that a natural basis of quantum states for such systems is provided by the so-called "scattering states" [9,14].…”
Section: Introductionmentioning
confidence: 99%
“…The corresponding set of eigenstates of H 0 is used to obtain the appropriate form of the evolution equation and to define the initial boundary conditions. An electronic device with contacts is an open system, and it has been recognized that a natural basis of quantum states for such systems is provided by the so-called "scattering states" [9,14].…”
Section: Introductionmentioning
confidence: 99%
“…In this consideration the concept of transferring the electron from one to the other reservoir is automatically eliminated, so is the Pauli blocking. The scattering states of the problem with static scatterer was proven to be orthogonal and complete [26].…”
mentioning
confidence: 99%
“…A first difficulty which has to be taken into account is related with the out of equilibrium regime. At the quantum level it can be done in the Landauer-Büttiker ( [8,25]) approach directly on the Schrödinger-Poisson system or via the Wigner-Poisson system ( [12,14,24]). This has motivated several theoretical studies concerned with the numerical treatment of artificial boundary conditions ( [1,2]), with the well posedness of the nonlinear problem ( [5,6,30]) and with the derivation of asymptotic models ( [21,31,32,33,37]).…”
Section: Introductionmentioning
confidence: 99%