The Exact Solution and Geometric Phase for the Su(1, 1) System

Jing Bo Xuc; Tie Zheng Qian; Xiao Chun Gao

doi:10.1209/0295-5075/15/2/002

The Exact Solution and Geometric Phase for the Su(1, 1) System

Jing Bo Xuc, Tie Zheng Qian, Xiao Chun Gao

Research output: Contribution to journal › Journal Article › peer-review

2 Citations (Scopus)

Abstract

The exact solution and time evolution operator for the SC7(1, 1) system are obtained by making use of the Lewis-Riesenfeld theory. The time-evolution operator is used to derive the Aharonov-Anandan phase. The noncyclic evolution is then discussed with the help of the Aharonov-Anandan phase. Finally, the Berry phase is calculated by taking the adiabatic limit.

Original language	English
Pages (from-to)	119-123
Number of pages	5
Journal	EPL
Volume	15
Issue number	2
DOIs	https://doi.org/10.1209/0295-5075/15/2/002
Publication status	Published - 15 May 1991
Externally published	Yes

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title = "The Exact Solution and Geometric Phase for the Su(1, 1) System",

abstract = "The exact solution and time evolution operator for the SC7(1, 1) system are obtained by making use of the Lewis-Riesenfeld theory. The time-evolution operator is used to derive the Aharonov-Anandan phase. The noncyclic evolution is then discussed with the help of the Aharonov-Anandan phase. Finally, the Berry phase is calculated by taking the adiabatic limit.",

author = "Xuc, \{Jing Bo\} and Qian, \{Tie Zheng\} and Gao, \{Xiao Chun\}",

year = "1991",

month = may,

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doi = "10.1209/0295-5075/15/2/002",

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T1 - The Exact Solution and Geometric Phase for the Su(1, 1) System

AU - Xuc, Jing Bo

AU - Qian, Tie Zheng

AU - Gao, Xiao Chun

PY - 1991/5/15

Y1 - 1991/5/15

N2 - The exact solution and time evolution operator for the SC7(1, 1) system are obtained by making use of the Lewis-Riesenfeld theory. The time-evolution operator is used to derive the Aharonov-Anandan phase. The noncyclic evolution is then discussed with the help of the Aharonov-Anandan phase. Finally, the Berry phase is calculated by taking the adiabatic limit.

AB - The exact solution and time evolution operator for the SC7(1, 1) system are obtained by making use of the Lewis-Riesenfeld theory. The time-evolution operator is used to derive the Aharonov-Anandan phase. The noncyclic evolution is then discussed with the help of the Aharonov-Anandan phase. Finally, the Berry phase is calculated by taking the adiabatic limit.

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1991FM55400002

UR - https://openalex.org/W2062224914

UR - https://www.scopus.com/pages/publications/84926878553

U2 - 10.1209/0295-5075/15/2/002

DO - 10.1209/0295-5075/15/2/002

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VL - 15

SP - 119

EP - 123

JO - EPL

JF - EPL

IS - 2

ER -

The Exact Solution and Geometric Phase for the Su(1, 1) System

Abstract

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