Time-dependent gauge transformations and Berry's phase

1992 ◽  
Vol 218 (2) ◽  
pp. 384
Keyword(s):  
Time Dependent ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Gauge Transformations

THREE ELABORATIONS ON BERRY’S CONNECTION, CURVATURE AND PHASE

1988 ◽  
Vol 03 (02) ◽  
pp. 285-297 ◽  
Author(s):  
R. JACKIW
Keyword(s):  
Conservation Laws ◽  
Quantum System ◽  
Canonical Transformation ◽  
Time Dependent ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Gauge Transformations ◽  
Constants Of Motion ◽  
Symmetry Transformations ◽  
Higher Order Corrections

We discuss how symmetries and conservation laws are affected when Berry’s phase occurs in a quantum system: symmetry transformations of coordinates have to be supplemented by gauge transformations of Berry’s connection, and consequently constants of motion acquire terms beyond the familiar kinematical ones. We show how symmetries of a problem determine Berry’s connection, curvature and, once a specific path is chosen, the phase as well. Moreover, higher order corrections are also fixed. We demonstrate that in some instances Berry’s curvature and phase can be removed by a globally well-defined, time-dependent canonical transformation. Finally, we describe how field theoretic anomalies may be viewed as manifestations of Berry’s phase.

Time-dependent gauge transformations and Berry's phase

1992 ◽  
Vol 219 (1) ◽  
pp. 42-54 ◽  
Author(s):  
Jiu-Qing Liang ◽  
H.J.W Müller-Kirsten
Keyword(s):  
Time Dependent ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Gauge Transformations

scholarly journals QUANTIZATION WITHOUT THE WITTEN ANOMALIES

1996 ◽  
Vol 11 (32n33) ◽  
pp. 2601-2609 ◽  
Author(s):  
T.D. KIEU
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Boundary Conditions ◽  
Path Integral ◽  
Quantum Field ◽  
Quantum Fields ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Gauge Transformations ◽  
Gauge Anomalies

It is argued that gauge anomalies are only artefacts of the conventional quantization of quantum field theory. When the Berry’s phase is taken into consideration to satisfy certain boundary conditions of the generating path integral, the gauge anomalies associated with homotopically nontrivial gauge transformations are explicitly shown to be eliminated, without any extra quantum fields introduced.

scholarly journals Using Berry’s Phase to Detect the Unruh Effect at Lower Accelerations

2011 ◽  
Vol 107 (13) ◽  
Author(s):  
Eduardo Martín-Martínez ◽  
Ivette Fuentes ◽  
Robert B. Mann
Keyword(s):  
Unruh Effect ◽  
Berry's Phase ◽  
Berry’S Phase

Calculation of Berry's phase in squeezed states

1991 ◽  
Vol 54 (3) ◽  
pp. 894-900
Author(s):  
E. V. Damaskinski
Keyword(s):  
Squeezed States ◽  
Berry's Phase ◽  
Berry’S Phase
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