Exact wave functions and geometric phases of a generalized driven oscillator

Details Exact wave functions and geometric phases of a generalized driven oscillator Exact wave functions and geometric phases of a generalized driven oscillator

1997-01-24

arxiv.org/abs/quant-ph/9701033v1

J.KoreanPhys.Soc.31:560,1997

Physics

Quantum Physics

19 pages, revtex, no figures

Scientific paper

The generalized invariant and its eigenstates of a general quadratic
oscillator are found. The Schr\"odinger wave functions for the eigenstates are
also found in analytically closed forms. The conditions for the existence of
the cyclic initial state (CIS) are studied and the corresponding nonadiabatic
Berry phase is calculated explicitly.

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