| Abstract: |
| The Vlasov-Schrodinger-Poisson system is a kinetic-quantum hybrid model describing quasi-lower dimensional electron gases. In this talk, we discuss the derivation of kinetic quantum hybrid models using partial confinement. Also, for this system, we study the construction of a large class of 2D kinetic/1D quantum steady states in a bounded domain as generalized free energy minimizes, and we show their finite subband structure, monotonicity, uniqueness, and conditional dynamical stability. This talk is based on joint work with Younghun Hong (Chung-Ang University). |
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