Affiliations: Dipartimento di Matematica, Universitá degli Studi di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy. E-mails: {grecchi, martinez, sordoni}@dm.unibo.it | Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino 10129, Italy. E-mail: [email protected] | Dipartimento di Matematica Pura ed Applicata, Universitá degli studi di Modena e Reggio Emilia, Via Campi 213/B, Modena 41100, Italy. E-mail: [email protected]
Abstract: Here we consider one of the basic models for many-body problems under an external field: the molecule ion H2+ under the effect of an external Stark-type potential. If we consider the vibrational energy levels of the first two electronic states of the molecule ion H2+ then, in the semiclassical limit and by means of a suitable modified Born–Oppenheimer method, we can prove that they switch to sharp resonances localized in the same interval of energy of the vibrational levels when an external Stark-type field, with the same direction of the nuclear axis, occurs.
