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.

Resonant states for a three-body problem under an external field / V., Grecchi; H., Kovarik; A., Martinez; Sacchetti, Andrea; A., 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

SACCHETTI, Andrea;
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 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.
2011
75
37
77
Resonant states for a three-body problem under an external field / V., Grecchi; H., Kovarik; A., Martinez; Sacchetti, Andrea; A., Sordoni. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - STAMPA. - 75:(2011), pp. 37-77. [10.3233/ASY-2011-1053]
V., Grecchi; H., Kovarik; A., Martinez; Sacchetti, Andrea; A., Sordoni
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/680649
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