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Canadian Journal of Physics

Anharmonic coherent states and E ε Jahn–Teller coupling

N.M. Avram, G. E. Drăgănescu, Calin N. Avram

Published May 1, 2002• 3 citations
Publisher

Abstract

The octahedral Jahn–Teller system with E [Formula: see text] ε coupling is studied in the frame of the anharmonic vibrations described by a Morse potential using anharmonic coherent states. The energy levels have been established. PACS Nos.: 31.30Gs, 71.70Ej, 42.50Ar, 42.50Ct, 33.20Wr
DOI
10.1139/p02-007

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The octahedral Jahn-Teller system T 1 ⊗(ε g ⊕tau 2g ) is studied using generalised Glauber states which are eigenstates of the system in the strong-coupling limit. It is shown that these states become, when limited to a total angular momentum of one, eigenstates in the weak-coupling limit. The lower-branch zero-phonon state is studied using these states and expressions as functions of coupling strength are obtained for the energy and Ham reduction factors. The results compare well with the available numerical calculations.