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Generalization of Schrödinger invariance. Applications to Bose‐Einstein condensation
Author(s) -
Stoimenov S.
Publication year - 2009
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200900046
Subject(s) - generalization , mathematical physics , schrödinger's cat , coupling constant , bose–einstein condensate , einstein , physics , linearity , homogeneous space , invariance principle , power (physics) , power law , mathematics , quantum mechanics , mathematical analysis , philosophy , geometry , linguistics , statistics
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.