From Feshbach-resonance managed Bose-Einstein condensates to anisotropic universes: applications of the Ermakov-Pinney equation with time-dependent nonlinearity

DOI10.1016/J.PHYSLETA.2007.01.078zbMath1217.82058arXivcond-mat/0701756OpenAlexW2040782757MaRDI QIDQ552529

G. Herring, Floyd L. Williams, Dimitrios J. Frantzeskakis, Panayotis G. Kevrekidis, Theodosios Christodoulakis

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0701756

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton equations (35Q51) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (2)

Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates ⋮ A dynamic correspondence between Bose–Einstein condensates and Friedmann–Lemaître–Robertson–Walker and Bianchi I cosmology with a cosmological constant

Uses Software

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Cites Work

• Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources
• On (2   1)-dimensional Friedmann–Robertson–Walker universes: an Ermakov–Pinney equation approach
• Cosmic dynamics of Bose–Einstein condensates
• Spectral Methods in MATLAB

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