Complex WKB method for difference equations in unbounded domains

Links

http://ieeexplore.ieee.org/document/7756830/

DOI

https://doi.org/10.1109/DD.2016.7756830
Other version

Alexander Fedotov
Ekaterina Shchetka

We study entire solutions to the difference Schrödinger equation ψ(z + h) + ψ(z - h) + v(z)ψ(z) = Eψ(z), z ϵ ℂ, where h > 0 and E ϵ ℂ are parameters, and v is a trigonometric polynomial. We describe asymptotic behavior of the solutions as h tends to zero.

Original language	English
Title of host publication	Days on Diffraction 2016
Subtitle of host publication	Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	140-143
ISBN (Electronic)	9781509058006
ISBN (Print)	9781509058013
DOIs	https://doi.org/10.1109/DD.2016.7756830
State	Published - 2016
Event	2016 International Conference Days on Diffraction, DD 2016 - St. Petersburg, Russian Federation Duration: 27 Jun 2016 → 1 Jul 2016

Conference

Conference	2016 International Conference Days on Diffraction, DD 2016
Country/Territory	Russian Federation
City	St. Petersburg
Period	27/06/16 → 1/07/16

Research areas

Mathematical model, Integral equations, Diffraction, Crystals, Joining processes

ID: 7596459