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Jahn-Teller systems as displaced para-Bose oscillators

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  • Schmutz, M.

Abstract

It is shown that the E-e and Γ8−τ2g Jahn-Teller systems are respectively the infinite direct sums of the integer and half-integer (with the exclusion of the pure Bose case) irreducible displaced para-Bose oscillators. The energy spectrum of an arbitrary displaced para-Bose oscillator is considered. The ground state energy is calculated variationally by use of the para-Bose coherent states. The oscillatory behavior of the excited states is discussed. The results are applied to the E-e and Γ8−τ2g systems.

Suggested Citation

  • Schmutz, M., 1980. "Jahn-Teller systems as displaced para-Bose oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 1-21.
  • Handle: RePEc:eee:phsmap:v:101:y:1980:i:1:p:1-21
    DOI: 10.1016/0378-4371(80)90097-7
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    1. Sudarshan K. Dhall & C. L. Liu, 1978. "On a Real-Time Scheduling Problem," Operations Research, INFORMS, vol. 26(1), pages 127-140, February.
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