Grassmann oscillator
- 15 March 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 33 (6) , 1666-1673
- https://doi.org/10.1103/physrevd.33.1666
Abstract
The quantum mechanics of the oscillator with anticommuting coordinates is discussed. The relation of this oscillator to the super Poincaré group is described. In the analysis one is led to introduce the Grassmann extension of Hermite and of Bargmann-Wigner functions.Keywords
This publication has 2 references indexed in Scilit:
- Supersymmetry and the Atiyah-Singer index theoremCommunications in Mathematical Physics, 1983
- Super-gauge transformationsNuclear Physics B, 1974