ASYMPTOTIC BEHAVIOR TO THE 3-D SCHRÖDINGER/HARTREE–POISSON AND WIGNER–POISSON SYSTEMS
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چکیده
منابع مشابه
Asymptotic Behavior to the 3-d Schrödinger/hartree Poisson and Wigner Poisson Systems
Using an appropriate scaling group for the 3-D Schrödinger–Poisson equation and the equivalence between the Schrödinger formalism and the Wigner representation of quantum mechanics it is proved that, when time goes to infinity, the limit of the rescaled self-consistent potential can be identified as the Coulomb potential. As a consequence, Schrödinger–Poisson and Wigner–Poisson systems are asym...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2000
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202500000471