There are discussed the exact solution of the time--dependent Schr\\"{o}dinger 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.

Feb 27, 19950 citations

Quantum Oscillator with Kronig-Penney Excitation in Different Regimes of Damping

Olga V. Man’ko

There are discussed 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.

arXiv:quant-ph/9502023Feb 27, 19950 citations