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Frequency Switching of Quantum Harmonic Oscillator with Time-Dependent Frequency

1998/03/02 by A. Angelow, Angelow, A.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9803004

13 pages, including 5 figures, 21 bibliographic references

openalex publication_date 1998/03/02 · arxiv created 1998/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An explicit solution of the equation for the classical harmonic oscillator with smooth switching of the frequency has been found . A detailed analysis of a quantum harmonic oscillator with such frequency has been done on the base of the method of linear invariants. It has been shown that such oscillator possesses cofluctuant states, different from widely studied Glauber's coherent and "ideal" squeezed states.

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