MANINS QUANTUM SPACES AND STANDARD QUANTUM-MECHANICS

被引：6

作者：

FLORATOS, EG

机构：

[1] Ecole Normale Supérieure, Laboratoire de Physique Théorique, F-75231 Paris Cedex 05

来源：

PHYSICS LETTERS B | 1990年 / 252卷 / 01期

关键词：

D O I：

10.1016/0370-2693(90)91087-R

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页码：97 / 100

页数：4

共 23 条

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[2]

CONNES A, 1986, I HAUTES ETUDES SCI, V62

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