A unified approach to quantum and classical TTW systems based on factorizations

被引：22

作者：

Celeghini, E. ^{[1
,2
]}

Kuru, S. ^{[3
]}

Negro, J. ^{[4
]}

del Olmo, M. A. ^{[4
]}

机构：

[1] Univ Florence, Dept Fis, I-50019 Florence, Italy

[2] INFN Sez Firenze, I-50019 Florence, Italy

[3] Ankara Univ, Fac Sci, Dept Phys, TR-06100 Ankara, Turkey

[4] Univ Valladolid, Dept Fis Teor Atom & Opt, E-47011 Valladolid, Spain

来源：

ANNALS OF PHYSICS | 2013年 / 332卷

关键词：

Superintegrable system; Higher order symmetry operator; Ladder operator; Classical motion; Trajectory; Constant of motion; SUPERINTEGRABILITY; POTENTIALS;

D O I：

10.1016/j.aop.2013.01.008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A unifying method based on factorization properties is introduced for finding symmetries of quantum and classical superintegrable systems using the example of the Tremblay-Turbiner-Winternitz (TTW) model. It is shown that the symmetries of the quantum system can be implemented in a natural way to its classical version. Besides, by this procedure we get also other type of constants of motion depending explicitly on time that allow to find directly the motion of the system whose corresponding trajectories coincide with those obtained previously by using its symmetries. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：27 / 37

页数：11

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