COMMENT ON THE Q-ANALOGS OF THE HARMONIC-OSCILLATOR

被引：145

作者：

NG, YJ

机构：

[1] Inst. of Field Phys., North Carolina Univ., Chapel Hill, NC

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 06期

关键词：

D O I：

10.1088/0305-4470/23/6/022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Heisenberg relation for the q-analogues of the quantum harmonic oscillator (introduced independently by Macfarlane and Biedenharn (1989) for the quantum group SU(2)q) is derived by a method analogous to that used by Schwinger (1968) for the SU(2) case. The author also speculates on the possible use of the quantum group as a generalisation of quantum mechanics.

引用

页码：1023 / 1027

页数：5

共 6 条

[1]

Biedenharn L. C., 1965, QUANTUM THEORY ANGUL

[2] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].

BIEDENHARN, LC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878

[3] YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS [J].

DEVEGA, HJ .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (10) :2371-2463

[4] A Q-DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION [J].

JIMBO, M .

LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (01) :63-69

[5] ON Q-ANALOGUES OF THE QUANTUM HARMONIC-OSCILLATOR AND THE QUANTUM GROUP SU(2)Q [J].

MACFARLANE, AJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (21) :4581-4588

[6]

SCHWINGER J, 1968, UNPUB HARVARD U LECT

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