The band spectrum of periodic potentials with PT-symmetry

Details The band spectrum of periodic potentials with PT-symmetry The band spectrum of periodic potentials with PT-symmetry

2003-12-19

arxiv.org/abs/quant-ph/0312163v1

J. Phys. A: Math. Gen. 37, 10167 (2004)

Physics

Quantum Physics

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

Scientific paper

10.1088/0305-4470/37/43/010

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.

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