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Title: Exact quantization of Cauchy-Euler type forced parametric oscillator
Authors: Atılgan Büyükaşık, Şirin
Çayiç, Zehra
Atılgan Büyükaşık, Şirin
Çayiç, Zehra
Izmir Institute of Technology. Mathematics
Keywords: Differential equations
Parametric oscillators
Algebraic approaches
Probability densities
Quantum oscillators
Issue Date: Oct-2016
Publisher: IOP Publishing Ltd.
Source: Atılgan Büyükaşık, Ş., and Çayiç, Z. (2016). Exact quantization of Cauchy-Euler type forced parametric oscillator. Journal of Physics: Conference Series, 766(1). doi:10.1088/1742-6596/766/1/012003
Abstract: Driven and damped parametric quantum oscillator is solved by Wei-Norman Lie algebraic approach, which gives the exact form of the evolution operator. This allows us to obtain explicitly the probability densities, time-evolution of initially Glauber coherent states, expectation values and uncertainty relations. Then, as an exactly solvable model, we introduce the driven Cauchy-Euler type quantum parametric oscillator, which appears as self-adjoint quantization of the classical Cauchy-Euler differential equation. We discuss some typical behavior of this oscillator under the influence of external terms and give a concrete example.
Description: International Conference on Quantum Science and Applications, ICQSA 2016; Eskisehir Osmangazi University Congress and Culture CentreEskisehir; Turkey; 25 May 2016 through 27 May 2016
ISSN: 1742-6588
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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