Quantum mechanics as a geometric phase: phase-space interferometers

被引：26

作者：

Luis, A ^{[1
]}

机构：

[1] Univ Complutense, Fac Ciencias Fis, Dept Opt, E-28040 Madrid, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 37期

关键词：

D O I：

10.1088/0305-4470/34/37/317

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that basic quantum commutation relations are equivalent to a geometric phase. We propose two interferometric arrangements that are able to measure this quantum geometric phase via interference in phase space.

引用

页码：7677 / 7684

页数：8

共 43 条

[1] BERRY PHASE, INTERFERENCE OF LIGHT-BEAMS, AND THE HANNAY ANGLE [J].

AGARWAL, GS ;

SIMON, R .

PHYSICAL REVIEW A, 1990, 42 (11) :6924-6927

[2] A GEOMETRIC APPROACH TO QUANTUM-MECHANICS [J].

ANANDAN, J .

FOUNDATIONS OF PHYSICS, 1991, 21 (11) :1265-1284

[3] Resource letter GPP-1: Geometric phases in physics [J].

Anandan, J ;

Christian, J ;

Wanelik, K .

AMERICAN JOURNAL OF PHYSICS, 1997, 65 (03) :180-185

[4] Spin coherent states as anticipators of the geometric phase [J].

Aravind, PK .

AMERICAN JOURNAL OF PHYSICS, 1999, 67 (10) :899-904

[5] OPERATORS OF THE PHASE - FUNDAMENTALS [J].

BERGOU, J ;

ENGLERT, BG .

ANNALS OF PHYSICS, 1991, 209 (02) :479-505

[6] THE ADIABATIC PHASE AND PANCHARATNAM PHASE FOR POLARIZED-LIGHT [J].

BERRY, MV .

JOURNAL OF MODERN OPTICS, 1987, 34 (11) :1401-1407

[7]

Berry MV, 1996, J MOD OPTIC, V43, P165, DOI 10.1080/09500349608232731

[8] INTERPRETING THE ANHOLONOMY OF COILED LIGHT [J].

BERRY, MV .

NATURE, 1987, 326 (6110) :277-278

[9] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[10] OBSERVATION OF TOPOLOGICAL PHASE BY USE OF A LASER INTERFEROMETER [J].

BHANDARI, R ;

SAMUEL, J .

PHYSICAL REVIEW LETTERS, 1988, 60 (13) :1211-1213

← 1 2 3 4 5 →