THE BERRY CONNECTION AND BORN-OPPENHEIMER METHOD

被引：39

作者：

BOHM, A

KENDRICK, B

LOEWE, ME

BOYA, LJ

机构：

[1] Center for Particle Theory, University of Texas at Austin, Austin

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1992年 / 33卷 / 03期

关键词：

D O I：

10.1063/1.529751

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By performing the most general Born-Oppenheimer procedure, the (non-Abelian) Berry connection for quantum systems in a quantum environment is derived. This method is then applied to the rapid rotation of a particle about a slowly changing axis, as exemplified by the electronic motion of a diatomic molecule. The angular part of the resulting dynamics for the quantum environment is equivalent to that of a monopole.

引用

页码：977 / 989

页数：13

共 27 条

[1] PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION
AHARONOV, Y
ANANDAN, J
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (16) : 1593 - 1596
[2] GEOMETRIC QUANTUM PHASE AND ANGLES
ANANDAN, J
AHARONOV, Y
[J]. PHYSICAL REVIEW D, 1988, 38 (06): : 1863 - 1870
[3] Berry M. V., 1989, GEOMETRIC PHASES PHY
[4] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES
BERRY, MV
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) : 45 - 57
[5] THE BORN-OPPENHEIMER ELECTRIC GAUGE FORCE IS REPULSIVE NEAR DEGENERACIES
BERRY, MV
LIM, R
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (13): : L655 - L657
[6] BERRY MV, 1989, GEOMETRIC PHASES PHY, P14
[7] BOHM A, 1989, SYMMETRY SCI, V3, P85
[8] BOHM A, 1986, QUANTUM MECHANICS, V5
[9] Born M, 1927, ANN PHYS-BERLIN, V84, P0457
[10] Born M., 1956, DYNAMICAL THEORY CRY

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