Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule

Details Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule

2002-02-13

arxiv.org/abs/quant-ph/0202069v1

Europhysics Lett. 61 (4): 445-451 FEB 2003

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1209/epl/i2003-00328-9

We present an algebraic method for treating molecular vibrations in the Morse potential perturbed by an external laser field. By the help of a complete and normalizable basis we transform the Schr\"{o}dinger equation into a system of coupled ordinary differential equations. We apply our method to calculate the dissociation probability of the NO molecule excited by chirped laser pulses. The dependence of the molecular dipole-moment on the interatomic separation is determined by a quantum-chemical method, and the corresponding transition dipole moments are given by approximate analytic expressions. These turn out to be very small between neighboring stationary states around the vibrational quantum number $m=42$, therefore we propose to use additional pulses in order to skip this trapping state, and to obtain a reasonable dissociation probability.

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