Semiclassical expansion of quantum gases into a vacuum

DOI10.1134/S0040577920030125zbMath1446.82074OpenAlexW3015584673MaRDI QIDQ2193702

Evgenii Kuznetsov, M. Yu. Kagan

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577920030125

zbMATH Keywords

Thomas-Fermi approximationGross-Pitaevskii equationquantum gas

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Statistical mechanics of gases (82D05) Self-similar solutions to PDEs (35C06)

Cites Work

• Unified theory of nuclear reactions
• Multi-component Ermakov systems: Structure and linearization
• Structure of a quantized vortex in boson systems
• Second-order differential equations: Conditions of complete integrability
• Expanding gas clouds of ellipsoidal shape: new exact solutions
• Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
• Expansion of a gas cloud in vacuum
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