Path integral approach to the D-dimensional harmonic oscillator with minimal length

被引：9
|
作者：
Chargui, Y. [1 ]
Chetouani, L. [2 ]
Trabelsi, A. [1 ,3 ]
机构：
[1] Fac Sci Tunis, Unite Rech Phys Nucl & Hautes Energies, Tunis 1080, Tunisia
[2] Univ Constantine, Dept Phys Theor, Inst Phys, Constantine, Algeria
[3] Ctr Natl Sci & Technol Nucl, Tunis, Tunisia
来源：
PHYSICA SCRIPTA | 2010年 / 81卷 / 01期
关键词：
UNCERTAINTY RELATION; SPACE;
D O I：
10.1088/0031-8949/81/01/015005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We solve the momentum space path integral for the D-dimensional harmonic oscillator in the context of some deformed commutation relations [(X) over cap (i), (P) over cap (j)] = ih delta(ij) (1 + (beta) over capP(2)) leading to isotropic nonzero minimal uncertainty in position coordinates. The exact energy spectrum and the corresponding normalized radial momentum space eigenfunctions are obtained from the spectral decomposition of the radial transition amplitude.
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页数：6
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