English

Heisenberg-picture approach to the exact quantum motion of a time-dependent forced harmonic oscillator

Quantum Physics 2009-10-30 v1

Abstract

In the Heisenberg picture, the generalized invariant and exact quantum motions are found for a time-dependent forced harmonic oscillator. We find the eigenstate and the coherent state of the invariant and show that the dispersions of these quantum states do not depend on the external force. Our formalism is applied to several interesting cases.

Keywords

Cite

@article{arxiv.quant-ph/9605046,
  title  = {Heisenberg-picture approach to the exact quantum motion of a time-dependent forced harmonic oscillator},
  author = {Hyeong-Chan Kim and Min-Ho Lee and Jeong-Young Ji and Jae Kwan Kim},
  journal= {arXiv preprint arXiv:quant-ph/9605046},
  year   = {2009}
}

Comments

15 pages, two eps files, to appear in Phys. Rev. A 53 (6) (1996)