Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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  • Conference Object
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    Exact Quantization of Cauchy-Euler Type Forced Parametric Oscillator
    (IOP Publishing Ltd., 2016) Atılgan Büyükaşık, Şirin; Çayiç, Zehra
    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.