Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7618
Title: Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator
Authors: Atılgan Büyükaşık, Şirin
Keywords: Caldirola-Kanai oscillator
Oscillators
Quantum oscillators
Quantum parametric oscillators
Lie algebras
Issue Date: Aug-2018
Publisher: American Institute of Physics
Source: Atılgan Büyükaşık, Ş. (2018). Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator. Journal of Mathematical Physics, 59(8). doi:10.1063/1.5002186
Abstract: The evolution operator of a Caldirola-Kanai type quantum parametric oscillator with a generalized quadratic Hamiltonian is obtained using the Wei-Norman Lie algebraic approach, and time evolution of the eigenstates of a harmonic oscillator and Glauber coherent states is found explicitly. Behavior of this oscillator is investigated under the influence of the external mixed term B(t)(qp+pq)/2, which affects the squeezing properties of the wave packets, and linear terms D0(t)q, E0(t)p responsible for their displacement in time. According to this, we construct all exact quantum models with different parameters B(t), for which the structure of the Caldirola-Kanai oscillator in position space is preserved. Then, for each model, we obtain explicit solutions and analyze the squeezing and displacement properties of the wave packets according to the frequency modification by B(t) and periodic forces in the corresponding classical equation of motion.
URI: https://doi.org/10.1063/1.5002186
https://hdl.handle.net/11147/7618
ISSN: 0022-2488
0022-2488
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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