Symmetries of Separating Nonlinear Schrödinger Equations
Author(s) -
George Svetlichny
Publication year - 1997
Publication title -
journal of nonlinear mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.544
H-Index - 40
eISSN - 1776-0852
pISSN - 1402-9251
DOI - 10.2991/jnmp.1997.4.1-2.3
Subject(s) - homogeneous space , nonlinear system , mathematics , symmetry (geometry) , degrees of freedom (physics and chemistry) , mathematical physics , schrödinger's cat , classical mechanics , pure mathematics , mathematical analysis , physics , quantum mechanics , geometry
We review here the main properties of symmetries of separating hierarchies of nonlinear Schrodinger equations and discuss the obstruction to symmetry liftings from (n)- particles to a higher number. We argue that for particles with internal degrees of freedom, new multiparticle eects must appear at each particle-number level.
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