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 H+2 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.
Resonant states for a three-body problem under an external field / V. Grecchi; H. Kovarik; A. Martinez; A. Sacchetti; V. Sordoni. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - STAMPA. - 75:(2011), pp. 37-77. [10.3233/ASY-2011-1053]
Resonant states for a three-body problem under an external field
GRECCHI, VINCENZO;MARTINEZ, ANDRE' GEORGES;SORDONI, VANIA
2011
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 H+2 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.