SOQ(N) COVARIANT DIFFERENTIAL-CALCULUS ON QUANTUM SPACE AND QUANTUM DEFORMATION OF SCHRODINGER-EQUATION

被引：89
作者：
CAROWWATAMURA, U
SCHLIEKER, M
WATAMURA, S
机构：
[1] Institute for Theoretical Physics, Karlsruhe University, Karlsruhe, W-7500
来源：
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1991年 / 49卷 / 03期
关键词：
D O I：
10.1007/BF01549697
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We construct a differential calculus on the N-dimensional non-commutative Euclidean space, i.e., the space on which the quantum group SO(q)(N) is acting. The differential calculus is required to be manifestly covariant under SO(q)(N) transformations. Using this calculus, we consider the Schrodinger equation corresponding to the harmonic oscillator in the limit of q --> 1. The solution of it is given by q-deformed functions.
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页码：439 / 446
页数：8
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