The energy spectrum of complex periodic potentials of the Kronig–Penney type
We consider a complex periodic PT-symmetric potential of the Kronig–Penney type, in order to elucidate the peculiar properties found by Bender et al. for potentials of the form V= i(sin x) 2 N+1 , and in particular the absence of anti-periodic solutions. In this model we show explicitly why these so...
Saved in:
| Published in | Physics letters. A Vol. 262; no. 2; pp. 242 - 244 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.11.1999
|
| Online Access | Get full text |
Cover
Loading…
| Summary: | We consider a complex periodic PT-symmetric potential of the Kronig–Penney type, in order to elucidate the peculiar properties found by Bender et al. for potentials of the form
V=
i(sin
x)
2
N+1
, and in particular the absence of anti-periodic solutions. In this model we show explicitly why these solutions disappear as soon as
V
∗(x)≠V(x)
, and spell out the consequences for the form of the dispersion relation. |
|---|---|
| ISSN: | 0375-9601 1873-2429 |
| DOI: | 10.1016/S0375-9601(99)00672-6 |