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arXiv · 1605.02064

Pseudo-Hermitian systems, involutive symmetries and pseudofermions

O. Cherbal·D. Trifonov·M. Zenad
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Abstract

We have briefly analyzed the existence of the pseudofermionic structure of multilevel pseudo-Hermitian systems with odd time-reversal and higher order involutive symmetries. We have shown that 2N-level Hamiltonians with N-order eigenvalue degeneracy can be represented in the oscillator-like form in terms of pseudofermionic creation and annihilation operators for both real and complex eigenvalues. The example of most general four-level traceless Hamiltonian with odd time-reversal symmetry, which is an extension of the SO(5) Hermitian Hamiltonian, is considered in greater and explicit detail.

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O. Cherbal, D. Trifonov, M. Zenad. 2016-05-06. Pseudo-Hermitian systems, involutive symmetries and pseudofermions. https://doi.org/10.1007/s10773-016-3151-3

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