Scaling of variables and the relation between noncommutative parameters in noncommutative quantum mechanics

被引：88
作者：
Bertolami, O
Rosa, JG
de Aragao, CML
Castorina, P
Zappalà, D
机构：
[1] Inst Super Tecn, Dept Fis, P-1049001 Lisbon, Portugal
[2] Univ Catania, Dept Phys, Catania, Italy
[3] Ist Nazl Fis Nucl, Sez Catania, I-95129 Catania, Italy
来源：
MODERN PHYSICS LETTERS A | 2006年 / 21卷 / 10期
关键词：
noncommutative quantum mechanics; gravitational quantum well; scaling of variables;
D O I：
10.1142/S0217732306019840
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider noncommutative quantum mechanics with phase space noncommutativity. In particular, we show that a scaling of variables leaves the noncommutative algebra invariant, so that only the self-consistent effective parameters of the model are physically relevant. We also discuss the recently proposed relation of direct proportionality between the noncommutative parameters, showing that it has a limited applicability.
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收藏
页码：795 / 802
页数：8
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