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Dynamic nonlinear Jahn–Teller effect of the type E ⊗ ϵ

✍ Scribed by Jai Singh

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
556 KB
Volume
19
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

By applying the projection operator method it is shown that the complicated Hamiltonian of a E ⊗ ϵ JT system with nonlinear coupling coefficients can be written in terms of two Hamiltonians which are simple to handle and transform according to irreducible representations E, A~1~, and A~2~ of C~3__v__~ point group. A variational approach is then used to calculate the ground state energy, using the Hamiltonian that transforms according to E, as an explicit function of the linear and nonlinear coupling parameters. The energies calculated in the strong coupling limit are finally compared with the corresponding previously calculated energies.

📜 SIMILAR VOLUMES

Exact solution of the E ⊗ ϵ Jahn-Teller
Exact solution of the E ⊗ ϵ Jahn-Teller Hamiltonian by known functions?
✍ H.G. Reik; M. Doucha 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 404 KB

## It is conjectured that the component wavefunctions of the E@c Jahn-Teller Hamiltonian are terminating series of generalized spheroidal wavefunctions. Numerical calculations strongly support the conjecture. The solution of the Rabi Hamiltonian is a special case.