Lorentz-covariant deformed algebra with minimal length

被引：53
|
作者：
Quesne, C.
Tkachuk, V. M.
机构：
[1] Univ Libre Bruxelles, B-1050 Brussels, Belgium
[2] Ivan Franko Lviv Natl Univ, Chair Theoret Phys, UA-79005 Lvov, Ukraine
来源：
CZECHOSLOVAK JOURNAL OF PHYSICS | 2006年 / 56卷 / 10-11期
关键词：
deformed algebras; Poincare transformations; uncertainty relations; Dirac equation; supersymmetric quantum mechanics;
D O I：
10.1007/s10582-006-0436-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The D-dimensional two-parameter deformed algebra with minimal length introduced by Kempf is generalized to a Lorentz-covariant algebra describing a (D + 1)-dimensional quantized space-time. For D = 3, it includes Snyder algebra as a special case. The deformed Poincare transformations leaving the algebra invariant are identified. Uncertainty relations are studied. In the case of D = 1 and one nonvanishing parameter, the bound-state energy spectrum and wavefunctions of the Dirac oscillator are exactly obtained.
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页码：1269 / 1274
页数：6
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