SUQ(1, 1) AND THE RELATIVISTIC OSCILLATOR

被引：51

作者：

MIRKASIMOV, RM ^{[1
]}

机构：

[1] JOINT INST NUCL RES,THEORET PHYS LAB,DUBNA 141980,USSR

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 18期

关键词：

D O I：

10.1088/0305-4470/24/18/016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the generalization of the quantum harmonic oscillator to the case of the relativistic configurational space is a q-oscillator. The corresponding group of dynamical symmetry is the quantum group SU(q)(1, 1). The deformation parameter being q = e-omega/omega-0 where hBAR-omega-0 = 4mc2 and omega is a frequency of the oscillator. The deformed creation and annihilation operators are finite difference ones. The corresponding deformation of the Heisenberg-Weyl group and new coherent states are also considered.

引用

页码：4283 / 4302

页数：20

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