The Generalized Uncertainty Principle and Harmonic Interaction in Three Spatial Dimensions

被引：17
|
作者：
Hassanabadi, H. [1 ]
Hooshmand, P. [1 ]
Zarrinkamar, S. [2 ]
机构：
[1] Shahrood Univ, Dept Phys, Shahrood, Iran
[2] Islamic Azad Univ, Garmsar Branch, Dept Basic Sci, Garmsar, Iran
来源：
FEW-BODY SYSTEMS | 2015年 / 56卷 / 01期
关键词：
LENGTH QUANTUM-MECHANICS; LARGE EXTRA DIMENSIONS; MINIMAL-LENGTH; DIRAC-EQUATION; FUNDAMENTAL-LENGTH; HYDROGEN-ATOM; OSCILLATOR; SPACE; SCENARIO; GRAVITY;
D O I：
10.1007/s00601-014-0910-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In three spatial dimensions, the generalized uncertainty principle is considered under an isotropic harmonic oscillator interaction in both non-relativistic and relativistic regions. By using novel transformations and separations of variables, the exact analytical solution of energy eigenvalues as well as the wave functions is obtained. Time evolution of the non-relativistic region is also reported.
引用
收藏
页码：19 / 27
页数：9
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