ASYMPTOTIC BEHAVIOR TO THE 3-D SCHRÖDINGER/HARTREE–POISSON AND WIGNER–POISSON SYSTEMS

DOI10.1142/S0218202500000471zbMath1012.81032OpenAlexW1966896376MaRDI QIDQ4798823

Juan Soler, José Luis López

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000471

zbMATH Keywords

long-time behaviorWigner representationscaling group

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

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Cites Work

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• The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case
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• The Wigner transform and the Wigner-poisson system
• Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
• A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
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• On the Quantum Correction For Thermodynamic Equilibrium
• Long Time Asymptotics for Quantum Particles in a Periodic Potential
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
• Self-consistent relaxation-time models in quantum mechanics

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