Manin's quantum spaces and standard quantum mechanics - INSPIRE

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Manin's quantum spaces and standard quantum mechanics

E.G. Floratos
(
- Ecole Normale Superieure
)

Aug, 1990

4 pages

Published in:

Phys.Lett.B 252 (1990) 97-100

Published: 1990

DOI:

10.1016/0370-2693(90)91087-R

Report number:

LPTENS-90-21

View in:

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Abstract: (Elsevier)

Manin's non-commutative coordinate algebra of quantum groups is shown to be identical, for unitary coordinates, with the conventional operator algebras of quantum mechanics. The deformation parameter q is a pure phase for unitary coordinates. When q is a root of unity, Manin's algebra becomes the matrix algebra of quantum mechanics for a discretized and finite phase space. Implications for quantum groups and the associated non-commutative differential calculus of Wess and Zumino are discussed.

quantum group: representation
differential geometry: nonabelian

References(13)

Figures(0)

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