Abstract
The behaviour of an oscillator may be controlled by the frequency time-dependence. For example, one can kick the oscillator frequency by short pulses and this kicking produces an excitation of the parametric oscillator. The amplitude of the oscillator vibrations and its energy may increase due to the external influence expressed as the frequency time-dependence. Also the statistical properties of the oscillator state may be changed due to the action of external forces. The aim of the talk is to discuss the exact solution of the time-dependent Schrödinger equation for a damped quantum oscillator subject to a periodical frequency delta-kicks describing squeezed states which are expressed in terms of Chebyshev polynomials. The cases of strong and weak damping are investigated in the frame of Caldirola-Kanai model [1], [2].
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Man’ko, O. (1997). Quantum Oscillator with Kronig-Penney Excitation in Different Regimes of Damping. In: Dowling, J.P. (eds) Electron Theory and Quantum Electrodynamics. NATO ASI Series, vol 358. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0081-4_13
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DOI: https://doi.org/10.1007/978-1-4899-0081-4_13
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