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Generalization of Schrödinger invariance. Applications to Bose-Einstein condensation

✍ Scribed by S. Stoimenov

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
163 KB
Volume
57
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

The symmetries of non‐linear Schrödinger equations with power‐law non‐linearities are investigated. It is shown that Galilei invariance can be extended to Schrödinger invariance if the coupling constant(s) in non‐linearity is treated as dimensionful quantity. This is used to find a new non‐stationary solutions from given stationary ones.

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✍ Chia-Chun Chou; Robert E. Wyatt 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 461 KB

## Abstract A new approach based upon the Taylor series method is proposed for propagating solutions of the time‐dependent Schrödinger equation. Replacing the spatial derivative of the wave function with finite difference formulas, we derive a recursive formula for the evaluation of Taylor coeffici