Quantum Algebras and Quantum Physics

Details Quantum Algebras and Quantum Physics Quantum Algebras and Quantum Physics

2001-09-04

arxiv.org/abs/hep-th/0109026v1

Europhys.Lett.61:438-444,2003

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2e, 9 pages

Scientific paper

10.1209/epl/i2003-00326-y

In Quantum Mechanics operators must be hermitian and, in a direct product space, symmetric. These properties are saved by Lie algebra operators but not by those of quantum algebras. A possible correspondence between observables and quantum algebra operators is suggested by extending the definition of matrix elements of a physical observable, including the eventual projection on the appropriate symmetric space. This allows to build in the Lie space of representations one-parameter families of operators belonging to the enveloping Lie algebra that satisfy an approximate symmetry and have the properties required by physics.

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