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

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

1995-05-12

arxiv.org/abs/quant-ph/9605046v1

Phys. Rev. A, 53 (1996) 3767.

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.53.3767

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.

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