Document Type
Article
Publication Date
2005
Keywords
Bose-Fermi oscillator, Supersymplectic transformations, Supersymmetry transformations
Abstract
Applying the concept of a momentum map for supersymplectic supervectorspaces to the one-dimensional Bose-Fermi oscillator, we show that the largest symmetry group that admits a momentum map is the identity component of the intersection of the orthosymplectic group OSp(2|2) and the group of supersymplectic transformations. This gives a systematic characterization of a certain class of odd supersymmetry transformations that were originally introduced in an ad hoc way.
Publication Title
Journal of Symmetry and Geometry in Physics
Volume
4
First Page
45
Last Page
58
Required Publisher's Statement
Journal of Geometry and Symmetry in Physics is published by the Institute of Biophysics, Bulgarian Academy of Sciences
Recommended Citation
Glimm, Tilmann and Schmid, Rudolf, "On the Supersymmetry Group of the Classical Bose-Fermi Oscillator,"" (2005). Mathematics Faculty Publications. 57.
https://cedar.wwu.edu/math_facpubs/57
Subjects - Topical (LCSH)
Symplectic geometry; Supersymmetry
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
