Time evolution in the Morse potential using supersymmetry: Dissociation of the molecule
Department of Theoretical Physics, University of
Szeged Tisza L. körút 84-86, H-6720 Szeged, Hungary
Accepted: 4 December 2002
We present a new algebraic method for treating molecular vibrations in the Morse potential perturbed by an external field. We introduce a discrete normalizable basis, allowing to expand the dissociated states, as well. The Morse Hamiltonian is particularly simple in this basis, and the matrix elements of a realistic molecular dipole moment operator can also be expressed analytically. As a demonstration, we apply our method to calculate the dissociation probability of the molecule excited by appropriate series of chirped laser pulses.
PACS: 03.65.Fd – Quantum mechanics: Algebraic methods / 33.80.-b – Photon interactions with molecules
© EDP Sciences, 2003