scholarly journals Quantum adiabatic approximation, quantum action, and Berry's phase

1997 ◽  
Vol 232 (6) ◽  
pp. 395-398 ◽  
Author(s):  
Ali Mostafazadeh
Keyword(s):  
Adiabatic Approximation ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Quantum Action

scholarly journals TOPOLOGICAL PROPERTIES OF BERRY'S PHASE

2005 ◽  
Vol 20 (05) ◽  
pp. 335-343 ◽  
Author(s):  
KAZUO FUJIKAWA
Keyword(s):  
Adiabatic Approximation ◽  
Time Interval ◽  
Finite Time Interval ◽  
Present Formulation ◽  
Level Crossing ◽  
Geometric Phases ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Convenient Formula ◽  
Oppenheimer Approximation

By using a second quantized formulation of level crossing, which does not assume adiabatic approximation, a convenient formula for geometric terms including off-diagonal terms is derived. The analysis of geometric phases is reduced to a simple diagonalization of the Hamiltonian in the present formulation. If one diagonalizes the geometric terms in the infinitesimal neighborhood of level crossing, the geometric phases become trivial for any finite time interval T. The topological interpretation of Berry's phase such as the topological proof of phase-change rule thus fails in the practical Born–Oppenheimer approximation, where a large but finite ratio of two time scales is involved.

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

Maslov's complex germ method and Berry's phase

1994 ◽  
Vol 27 (18) ◽  
pp. 6267-6286 ◽  
Author(s):  
A Yu Trifonov ◽  
A A Yevseyevich
Keyword(s):  
Complex Germ ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Complex Germ Method
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