Stark-Wannier states and Bender-Wu singularities
- 10 November 1985
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 18 (31) , 5825-5834
- https://doi.org/10.1088/0022-3719/18/31/014
Abstract
The authors present a numerical analysis of the Stark-Wannier states in finite Kronig-Penney crystals extended to the complex field plane. Exponential stability in the infinite crystal limit for any fixed complex field value f is verified. The energies En.j(f) of such states are all connected through sequences of couples of branch points of the Bender-Wu type approaching symmetrically the real axis. On the other hand, near f=0 in the complex directions they have a smooth behaviour and it is possible to compute the first terms of the asymptotic power series.Keywords
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