Conjectured exact solution for the dynamical Jahn-Teller-effect in E × ϵ Γ8 × γ2 and Γ8 × (γ2 × ϵ) systems

Reik, H.G.; Ribeiro, Lincoln Almir Amarante; Nusser, H.

doi:10.1016/0038-1098(81)91055-3

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Juddian Solutions1

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Cited by 6 publications

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“…Reik et al 12,[36][37][38] simplified the analysis of the Juddian ͑isolated exact͒ solutions for H PJT by observing that, at the Juddian points, a Neumann expansion of the Bargmann space wave function in modified Bessel functions terminates after a finite number of terms. Here, we simply recover the results of Reik et al using the operator approach given above and obtain explicit expressions ͑independent of the realization of the bosonic modes͒ for the Juddian wave functions in the Dirac rather than the Bargmann representation.…”

Section: Juddian Solutionsmentioning

confidence: 99%

Simple accurate coupled cluster results for the linear E⊗e pseudo-Jahn–Teller effect

Bishop

Davidson

Quick

et al. 2000

The Journal of Chemical Physics

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Using the coupled cluster method ͑CCM͒, we present a simple accurate calculation for the energies of the ground-and first excited states of the linear E e Jahn-Teller and pseudo-Jahn-Teller Hamiltonians. From the solution of a single transcendental equation, we obtain results with a maximal error of 1.2%. These results are notably better than previous results obtained both via the CCM and other many-body approximations.

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Section: Juddian Solutionsmentioning

confidence: 99%