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Multi-component Bose-Einstein condensates: theory. (English) Zbl 1151.82369

Kevrekidis, Panayotis G. (ed.) et al., Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment. Berlin: Springer (ISBN 978-3-540-73590-8/hbk). Springer Series on Atomic, Optical, and Plasma Physics 45, 287-305 (2008).
Summary: This chapter presents an overview of models providing for theoretical description of basic one- and two-dimensional nonlinear patterns and their stability in mixtures of degenerate Bose and/or Fermi gases, in the mean-field approximation. The models are based on coupled Gross-Pitaevskii equations for bosonic gases, and mean-field-hydrodynamic equations for gases of fermions.
For the entire collection see [Zbl 1137.82003].

MSC:

82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
82C26 Dynamic and nonequilibrium phase transitions (general) in statistical mechanics
35Q51 Soliton equations
35Q55 NLS equations (nonlinear Schrödinger equations)
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