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Transition probabilities for a time-dependent bilinear Hamiltonian with two harmonic limits
Authors:F M Fernández
Institution:1. División Quimica Teórica, Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (INIFTA), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina
Abstract:A method is developed for calculating transition probabilities for a time-dependent bilinear Hamiltonian that yields two different Harmonic oscillators at initial and final times. The procedure is based on the equations of motion for the creation and annihilation operators and the transition probabilities are obtained from recurrence relations that are most suitable for computational purposes.
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