Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/9605
Title: Time-evolution of squeezed coherent states of a generalized quantum parametric oscillator
Authors: Atılgan Büyükaşık, Şirin
Çayiç, Zehra
Issue Date: 2019
Publisher: American Institute of Physics
Abstract: Time evolution of squeezed coherent states for a quantum parametric oscillator with the most general self-adjoint quadratic Hamiltonian is found explicitly. For this, we use the unitary displacement and squeeze operators in coordinate representation and the evolution operator obtained by the Wei-Norman Lie algebraic approach. Then, we analyze squeezing properties of the wave packets according to the complex parameter of the squeeze operator and the time-variable parameters of the Hamiltonian. As an application, we construct all exactly solvable generalized quantum oscillator models classically corresponding to a driven simple harmonic oscillator. For each model, defined according to the frequency modification in position space, we describe explicitly the squeezing and displacement properties of the wave packets. This allows us to see the exact influence of all parameters and make a basic comparison between the different models.
URI: https://doi.org/10.1063/1.5050489
https://hdl.handle.net/11147/9605
ISSN: 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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