Feymnan path integral on the non-commutative plane

被引：259

作者：

Smailagic, A

Spallucci, E

机构：

[1] Ist Nazl Fis Nucl, Sez Trieste, I-34014 Trieste, Italy

[2] Univ Trieste, Dept Theoret Phys, I-34014 Trieste, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 33期

关键词：

D O I：

10.1088/0305-4470/36/33/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formulate the Feynman path integral on a non-commutative plane using coherent states. The propagator for a free particle exhibits UV cutoff induced by the parameter of non-commutativity.

引用

页码：L467 / L471

页数：5

共 14 条

[1]

Alvarez-Gaumé L, 2001, INT J MOD PHYS A, V16, P1123, DOI 10.1142/S0217751X01002750

[2] On the Laplacian of 1/r [J].

Hnizdo, V. .

2000, IOP, Bristol, Engl (21)

[3] Noncommutative field theory and Lorentz violation [J].

Carroll, SM ;

Harvey, JA ;

Kostelecky, VA ;

Lane, CD ;

Okamoto, T .

PHYSICAL REVIEW LETTERS, 2001, 87 (14) :141601/1-141601/4

[4]

Feynman Richard P., 2010, Quantum Mechanics and Path Integrals

[5] COHERENT AND INCOHERENT STATES OF RADIATION FIELD [J].

GLAUBER, RJ .

PHYSICAL REVIEW, 1963, 131 (06) :2766-+

[6]

Klauder J. R., 1985, COHERENT STATES APPL

[7] QUANTUM MECHANICS AS A STATISTICAL THEORY [J].

MOYAL, JE .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1949, 45 (01) :99-124

[8] Quantum mechanics on the noncommutative plane and sphere [J].

Nair, VP ;

Polychronakos, AP .

PHYSICS LETTERS B, 2001, 505 (1-4) :267-274

[9] UV-IR relations in AdS dynamics [J].

Peet, AW ;

Polchinski, J .

PHYSICAL REVIEW D, 1999, 59 (06)

[10] Isotropic representation of the noncommutative 2D harmonic oscillator [J].

Smailagic, A ;

Spallucci, E .

PHYSICAL REVIEW D, 2002, 65 (10)

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