Numerical Calculation of Vibrational Transition Probability in the Forced Morse Oscillator by Use of the Anharmonic Ladder operators

초록

We have solved numerically the time dependent Schrodinger equation based on communication relations of anharmonic ladder operators for vibrational energy transfer process in the forced Morse oscillator. For a simple calculation in H2+He, the harmonic scaling relations P υ→υ+1 = (υ+1)P 0 →1 increase very sharply as the quantum number increase. These results are diametrically opposed to the result carried by Ree et al.[Chem. Phys. Lett., 103, 149(1983)].