A variational approach to the Schrödinger-Poisson system: asymptotic behaviour, breathers, and stability

DOI10.1023/A:1010369224196zbMath0999.82062OpenAlexW280455691MaRDI QIDQ5949308

Enrique Ruíz Arriola, Juan Soler

Publication date: 19 November 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010369224196

zbMATH Keywords

asymptotic behaviourattractive Coulomb forcesbreathingthree-dimensional Schrödinger-Poisson system

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) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

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