q-Schrodinger equations for V=u(2)+1/u(2) and Morse potentials in terms of the q-canonical transformation

被引：11

作者：

Dayi, OF ^{[1
]}

Duru, IH ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1997年 / 12卷 / 13期

关键词：

D O I：

10.1142/S0217751X97001389

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2, 1) of the Schrodinger equations for the Morse and the V = u(2) + 1/u(2) potentials were known to be related by a canonical transformation. q-deformed analog of this transformation connecting two different realizations of the sl(q)(2) algebra is presented. By the virtue of the q-canonical transformation, a q-deformed Schrodinger equation for the Morse potential is obtained from the q-deformed V = u(2)+1/u(2) Schrodinger equation. Wave functions and eigenvalues of the q-Schrodinger equations yielding a new definition of the q-Laguerre polynomials are studied.

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收藏

页码：2373 / 2384

页数：12

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