The Quantization of the E ⊗ e Jahn–Teller Hamiltonian

The Quantization of the E ⊗ e Jahn–Teller Hamiltonian

The E ⊗ e Jahn–Teller Hamiltonian in the Bargmann–Fock representation gives rise to a system of two coupled first-order differential equations in the complex field, which may be rewritten in the Birkhoff standard form. General leapfrog recurrence relations are derived, from which the quantized solut...

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Veröffentlicht in:The journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory Molecules, spectroscopy, kinetics, environment, & general theory, 2017-09, Vol.121 (38), p.7246-7254
Hauptverfasser: Arvanitidis, Athanasios G, Vandaele, Eva R. J, Szopa, Marek, Ceulemans, Arnout
Format: Artikel
Sprache:eng
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Zusammenfassung:The E ⊗ e Jahn–Teller Hamiltonian in the Bargmann–Fock representation gives rise to a system of two coupled first-order differential equations in the complex field, which may be rewritten in the Birkhoff standard form. General leapfrog recurrence relations are derived, from which the quantized solutions of these equations can be obtained. The results are compared to the analogous quantization scheme for the Rabi Hamiltonian.
ISSN:1089-5639
1520-5215
DOI:10.1021/acs.jpca.7b06136