The applications of parabosons by Schmutz (1980) and of supersymmetry by Jarvis and Stedman (1984) in Jahn-Teller systems are compared and contrasted. Although a parasupersymmetric Jahn-Teller system has not yet been identified, the method of Schmutz is used here to show that the E* epsilon supersymmetric Jahn-Teller Hamiltonian can be written in terms of paraboson operators.

arXiv:hep-th/9406112Journal of Physics A Mathematical and GeneralJul 7, 19941 citation

Physica A Statistical Mechanics and its Applications

Jahn-Teller systems as displaced para-Bose oscillators

Manfred Schmutz

Published Apr 1, 1980• 13 citations

Publisher

DOI: 10.1016/0378-4371(80)90097-7

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The dynamics of driven binary oscillators in the

\mathcal{PT}

-symmetric harmonic potential is investigated and the corresponding analytical solutions of the time-dependent wave function are obtained. Our numerical results exhibit that there is the population oscillation, which is different from the case of normal dissipation or gain systems. After studying the motion of driven harmonic oscillators which are coupled via the

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\mathcal{PT}

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