Complex periodic potentials with real band spectra
Bender, Carl M. ; Dunne, Gerald V. ; Meisinger, Peter N.
arXiv, 9810369 / Harvested from arXiv
Text on arXiv
This paper demonstrates that complex PT-symmetric periodic potentials possess real band spectra. However, there are significant qualitative differences in the band structure for these potentials when compared with conventional real periodic potentials. For example, while the potentials V(x)=i\sin^{2N+1}(x), (N=0, 1, 2, ...), have infinitely many gaps, at the band edges there are periodic wave functions but no antiperiodic wave functions. Numerical analysis and higher-order WKB techniques are used to establish these results.
Publié le : 1998-10-27
Classification:  Condensed Matter,  High Energy Physics - Theory,  Mathematical Physics 
@article{9810369,
     author = {Bender, Carl M. and Dunne, Gerald V. and Meisinger, Peter N.},
     title = {Complex periodic potentials with real band spectra},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810369}
}

Bender, Carl M.; Dunne, Gerald V.; Meisinger, Peter N. Complex periodic potentials with real band spectra. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810369/