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arxiv: 1903.10290 · v1 · pith:VCB4N3YRnew · submitted 2019-03-25 · 🪐 quant-ph

Time-dependent oscillator with Kronig-Penney excitation

classification 🪐 quant-ph
keywords oscillatortime-dependentcalculatechebyshevcoefficientscorrespondingdelta-kicksenergy
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Exact solutions of the time-dependent Schrodinger equation for a quantum oscillator subject to periodical frequency delta-kicks are obtained. We show that the oscillator occurs in the squeezed state and calculate the corresponding squeezing coefficients and the energy increase rate in terms of Chebyshev polynomials.

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