Quantum Mechanics on the Circle and W_{1+\INFTY}
Preprint
- 25 November 1991
Abstract
The algebra W_{1+\infty} with central charge c=0 can be identified with the algebra of quantum observables of a particle moving on a circle. Mathematically, it is the universal enveloping algebra of the Euclidean algebra in two dimensions. Similarly, the super W_\infty algebra is found to be the universal enveloping algebra of the super-Euclidean algebra in two dimensions.Keywords
All Related Versions
- Version 1, 1991-11-25, ArXiv
- Published version: Physics Letters B, 261 (1-2), 51.
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