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Titlebook: Stochastic Approaches to Electron Transport in Micro- and Nanostructures; Mihail Nedjalkov,Ivan Dimov,Siegfried Selberherr Book 2021 Sprin

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Wigner Function Modeling Under such conditions decoherence effects due to the lattice coexist with quantum coherent dynamics. The hierarchy of models presented in this chapter accounts on different levels of approximation for the effects of the lattice vibrations on the electron dynamics. On the top of the hierarchy is the
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Stationary Quantum Particle Attributescterized by the time independence of the external quantities such as fields and boundary conditions, which ensures the time independence of the corresponding physical averages. The task is first reformulated in terms of functionals of the solution of the adjoint equation. Then the functionals are di
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Transient Quantum Particle Attributesial time. Transient quantum algorithms are based on a further development of the concepts of signed particles, introduced for the stationary counterpart Chap. .. A transition from a single to an ensemble particle picture is now imposed by the existence of a fixed time origin. All particles in the en
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Inhomogeneous Stationary Transporttime average over a single carrier trajectory. From a physical point of view, the place of the boundaries is well defined by the device geometry. From a numerical point of view, an iteration algorithm (but not its performance) should be independent of the choice of place and shape of the boundaries.
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