Position-dependent noncommutativity in quantum mechanics

被引：53

作者：

Gomes, M. ^{[1
]}

Kupriyanov, V. G. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Fis, BR-05508 Sao Paulo, Brazil

来源：

PHYSICAL REVIEW D | 2009年 / 79卷 / 12期

关键词：

SELF-DUAL FIELDS; SYMMETRY; PARTICLE;

D O I：

10.1103/PhysRevD.79.125011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The model of the position-dependent noncommutativity in quantum mechanics is proposed. We start with given commutation relations between the operators of coordinates [(x) over cap (i), (x) over cap (j)] = omega(ij) ((x) over cap), and construct the complete algebra of commutation relations, including the operators of momenta. The constructed algebra is a deformation of a standard Heisenberg algebra and obeys the Jacobi identity. The key point of our construction is a proposed first-order Lagrangian, which after quantization reproduces the desired commutation relations. Also we study the possibility to localize the noncommutativity.

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页数：6

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