An Analysis of a Quantum Kinetic Two-band Model with Inflow Boundary Conditions

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  • Chiara Manzini
  • Omar Morandi

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https://doi.org/10.1685/

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We present a well-posedness study of a two-band envelope function model in the Wigner formalism. It is obtained from a multiband Schrödinger-like system for the conduction and the valence band envelope functions, derived by O.Morandi and M.Modugno, and describes the mixed-states of an open quantum system. It consists of four coupled equations for the unknown quasi-distribution functions. We include a non-linearly coupling with the Poisson equation and consider the unknown functions defined in a one-dimensional, bounded spatial domain with time-dependent ``inflow'' boundary conditions. We will prove the existence and uniqueness of a global-in-time, classical solution. [DOI: 10.1685/CSC06107] About DOI

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2007-10-01

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##issue.vol## 1 (2006)

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Articles

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