The band spectrum of periodic potentials with PT-symmetry

Abstract

A real band condition is shown to exist for one dimensional periodic complex non-hermitian potentials exhibiting PT-symmetry. We use an exactly solvable ultralocal periodic potential to obtain the band structure and discuss some spectral features of the model, specially those concerning the role of the imaginary parameters of the couplings. Analytical results as well as some numerical examples are provided.

arXiv comment14 pages, 19 included figures (13 coloured). Submitted to J. Phys. A

References in corpus (6)

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• On the spectral properties of the Schrodinger operator with a periodic PT-symmetric potential
• Absorption in atomic wires
• PT-Invariant Periodic Potentials with a Finite Number of Band Gaps
• Band spectra of periodic hybrid $\delta$-${\delta }^{\prime }$ structures