dorsal/arxiv
View SchemaTime evolution in the Morse potential using supersymmetry: dissociation of the NO molecule
| Authors | Balazs Molnar, Peter Foldi, Mihaly G. Benedict, Ferenc Bartha |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202069 |
| URL | https://arxiv.org/abs/quant-ph/0202069 |
| DOI | 10.1209/epl/i2003-00328-9 |
| Journal | Europhysics Lett. 61 (4): 445-451 FEB 2003 |
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.
{
"annotation_id": "fed4beac-33e5-47d7-9eaa-6484541009c5",
"date_created": "2026-03-02T18:01:49.273000Z",
"date_modified": "2026-03-02T18:01:49.273000Z",
"file_hash": "e66b44caf0513b71c370e38cdbf89549e03abc21f0d73ed2fb78d792e33357f0",
"private": false,
"record": {
"abstract": "We present an algebraic method for treating molecular vibrations in the Morse\npotential perturbed by an external laser field. By the help of a complete and\nnormalizable basis we transform the Schr\\\"{o}dinger equation into a system of\ncoupled ordinary differential equations. We apply our method to calculate the\ndissociation probability of the NO molecule excited by chirped laser pulses.\nThe dependence of the molecular dipole-moment on the interatomic separation is\ndetermined by a quantum-chemical method, and the corresponding transition\ndipole moments are given by approximate analytic expressions. These turn out to\nbe very small between neighboring stationary states around the vibrational\nquantum number $m=42$, therefore we propose to use additional pulses in order\nto skip this trapping state, and to obtain a reasonable dissociation\nprobability.",
"arxiv_id": "quant-ph/0202069",
"authors": [
"Balazs Molnar",
"Peter Foldi",
"Mihaly G. Benedict",
"Ferenc Bartha"
],
"categories": [
"quant-ph",
"physics.atom-ph"
],
"doi": "10.1209/epl/i2003-00328-9",
"journal_ref": "Europhysics Lett. 61 (4): 445-451 FEB 2003",
"title": "Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule",
"url": "https://arxiv.org/abs/quant-ph/0202069"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ae7996c7-1f25-4674-8698-344e1ce5dbf4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}