scholarly journals Exact solutions and geometric phase factor of time-dependent three-generator quantum systems

2003 ◽  
Vol 23 (2) ◽  
pp. 305-313 ◽  
Author(s):  
J.-Q. Shen ◽  
H.-Y. Zhu ◽  
P. Chen
Keyword(s):  
Exact Solutions ◽  
Geometric Phase ◽  
Quantum Systems ◽  
Time Dependent ◽  
Phase Factor

scholarly journals Geometric-phase-propagator approach to time-dependent quantum systems

2012 ◽  
Vol 85 (6) ◽  
Author(s):  
F. K. Diakonos ◽  
P. A. Kalozoumis ◽  
A. I. Karanikas ◽  
N. Manifavas ◽  
P. Schmelcher
Keyword(s):  
Geometric Phase ◽  
Quantum Systems ◽  
Time Dependent

scholarly journals Geometric Phase for Analytically Solvable Driven Time-Dependent Two-Level Quantum Systems

2014 ◽  
Vol 126 (3) ◽  
pp. 670-673 ◽  
Author(s):  
I. Mendaš ◽  
N. Burić ◽  
D.B. Popović ◽  
S. Prvanović ◽  
M. Radonjić
Keyword(s):  
Geometric Phase ◽  
Quantum Systems ◽  
Time Dependent

GEOMETRIC PHASE IN A MESOSCOPIC LC CIRCUIT WITH ALTERNATING SOURCE

2006 ◽  
Vol 20 (32) ◽  
pp. 5373-5381
Author(s):  
YING-HUA JI ◽  
JU-JU HU ◽  
QING LIU ◽  
DAN ZOU
Keyword(s):  
Schrödinger Equation ◽  
Parameter Space ◽  
Geometric Phase ◽  
Schrodinger Equation ◽  
Invariant Operator ◽  
Time Dependent ◽  
Phase Factor ◽  
Evolution Path ◽  
Lc Circuit

In this paper, we examine a mesoscopic LC circuit with alternating source and solve its time-dependent Schrödinger equation by selecting a proper Hermitian invariant operator. We study LR geometric phase in mesoscopic circuit system. Our results indicate that LR geometric phase is present at all times. In the evolution of the circuit system, it is a geometric phase factor accumulated by the wavefunction of external source's interaction with circuit system after nonadiabatic and noncyclic evolution. Its property lies in that it depends on the evolution path of the system wavefunction in the parameter space.

Geometric Phase in a Time-Dependent Coupled Atom-Heteronuclear-Molecule Condensate

2011 ◽  
Vol 50 (6) ◽  
pp. 1719-1725
Author(s):  
An-Ling Wang ◽  
Fu-Ping Liu ◽  
Zhao-Xian Yu
Keyword(s):  
Geometric Phase ◽  
Time Dependent
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