Unitary transformation approach to the cyclic evolution of SU(1, 1) and SU(2) time-dependent systems and geometrical phases

DOI10.1088/0305-4470/31/32/008zbMath0931.47061OpenAlexW2069923598MaRDI QIDQ4259852

Mustapha Maamache

Publication date: 23 February 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/32/008

zbMATH Keywords

Floquet operatorcyclic states\(\text{SU}(1,1)\) and \(\text{SU}(2)\) time-dependent quantum systemsnon-adiabatic Berry's or Aharonov-Anandan phasestime-dependent unitary transformation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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