On an Exchange Interaction Model for Quantum Transport: the Schrödinger–poisson–slater System
نویسنده
چکیده
We study a mixed–state Schrödinger–Poisson–Slater system (SPSS). This system combines the nonlinear and nonlocal Coulomb interaction with a local potential nonlinearity known as the ”Slater exchange term” which models a fermionic effect. The origin of the model is explained and related models are also proposed. Existence, uniqueness and regularity of local–in–time and global solutions are analyzed in R3 with L2 or H1 initial data. Stationary solutions and conservation laws are also analyzed by using a variational approach due to E. Lieb.
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تاریخ انتشار 2003