Radial action-phase quantization in Bose-Einstein condensates

DOI10.1016/j.physleta.2007.08.060zbMath1217.81067OpenAlexW1993678939MaRDI QIDQ552688

Gilbert Reinisch

Publication date: 26 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.08.060

zbMATH Keywords

Gross-Pitaevskii mean-field descriptionradial energy quantization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Hamilton-Jacobi equations in mechanics (70H20)

Cites Work

• Unnamed Item
• On stability of vortices in three-dimensional self-attractive Bose-Einstein condensates
• Ermakov systems, exact solution, and geometrical angles and phases
• Non-oscillating solutions to uncoupled Ermakov systems and the semi-classical limit
• Pictorial Representations of the Electron Cloud for Hydrogen-Like Atoms
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0