English

Exact wave functions and geometric phases of a generalized driven oscillator

Quantum Physics 2008-11-26 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/9701033,
  title  = {Exact wave functions and geometric phases of a generalized driven oscillator},
  author = {Min-Ho Lee and Hyeong-Chan Kim and Jeong-Young Ji},
  journal= {arXiv preprint arXiv:quant-ph/9701033},
  year   = {2008}
}

Comments

19 pages, revtex, no figures

R2 v1 2026-07-22T20:01:56.589Z