SL(Q)(2) REALIZATIONS FOR KEPLER AND OSCILLATOR POTENTIALS AND Q-CANONICAL TRANSFORMATIONS

被引：14

作者：

DAYI, OF ^{[1
]}

DURU, IH ^{[1
]}

机构：

[1] TRAKYA UNIV,DEPT MATH,EDIRNE,TURKEY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 08期

关键词：

D O I：

10.1088/0305-4470/28/8/029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2, 1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.

引用

页码：2395 / 2402

页数：8