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Generalized contact transformations of a hamiltonian with a quasi-degenerate zero-order approximation. Application to accidental vibration- rotation resonances in molecules

✍ Scribed by VI.G. Tyuterev; V.I. Perevalvo


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
588 KB
Volume
74
Category
Article
ISSN
0009-2614

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✦ Synopsis


The supcropcrator fomwlatlon of contact transformatIonsIs generalized for the case of the quasl-degenzrate zero-order appro\lmatlon The amblgult? of (cr)8(eff 1s consldercd tt IS found that the results of some other perturbatton methods can bc obtamcd as partvxdar cases of It. Tbr suggested scheme alloas one to consider accIdental rIbratIon-rotatton resomnces of an> type 1. htroduction There are two types of method of degenerate perturbation theory havmg apphcattons m molecular spectroscopy and resultmg m E-Independent effectwe harmltoruans (W?'f> which essentially chffer In the calcuiatlon procedure: (I) Trartsfomtattorts ut terms of dwtanttc vartables where a transformed harndtoman, as well as the mitlai hamiltoman. of a molecule IS the operator function of the momentum J,, anruhdation a, operators of elementary excltatlons, etc.