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Wavelet Spectra of a Chirped Gaussian Pulsed-Driven Harmonic Oscillator

Author

Listed:
  • R. A. Alharbey

    (Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80200, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

  • H. Abusamra

    (Mathematics Department, Faculty of Science, King Abdulaziz University, P.O. Box 80200, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

We investigate the nature of spectral lines of emitted radiation due to of a non-dissipative single-mode quantized harmonic oscillator (HO) with train of n-chirped Gaussian pulses. Specifically, we analyze the transient emitted spectrum through two window wavelet functions of the radiation detector, namely the Haar wavelet and Morlet wavelet. Computational display of the exact analytical results shows how the driving pulse parameters (strength and number of pulses, chirping, repetition time) act as control knobs to shape the detected emitted spectrum as desired.

Suggested Citation

  • R. A. Alharbey & H. Abusamra, 2021. "Wavelet Spectra of a Chirped Gaussian Pulsed-Driven Harmonic Oscillator," Mathematics, MDPI, vol. 9(9), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:939-:d:541937
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    Cited by:

    1. Valery Astapenko, 2022. "Peculiar Features of Quantum Oscillator Excitation by Pulses with Different Envelopes," Mathematics, MDPI, vol. 10(8), pages 1-9, April.

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