{ "id": "quant-ph/0202069", "version": "v1", "published": "2002-02-13T08:45:37.000Z", "updated": "2002-02-13T08:45:37.000Z", "title": "Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule", "authors": [ "Balazs Molnar", "Peter Foldi", "Mihaly G. Benedict", "Ferenc Bartha" ], "comment": "4 pages, 3 figures", "journal": "Europhysics Lett. 61 (4): 445-451 FEB 2003", "doi": "10.1209/epl/i2003-00328-9", "categories": [ "quant-ph", "physics.atom-ph" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2002-02-13T08:45:37.000Z" } ], "analyses": { "keywords": [ "morse potential", "time evolution", "supersymmetry", "dissociation probability", "external laser field" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }