The Complex WKB Method for Difference Equations in Bounded Domains
- Authors: Fedotov A.A.1, Shchetka E.V.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 224, No 1 (2017)
- Pages: 157-169
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239518
- DOI: https://doi.org/10.1007/s10958-017-3402-8
- ID: 239518
Cite item
Abstract
The difference Schrӧdinger equation ψ(z+h)+ψ(z−h)+v(z)ψ(z) = Eψ(z), z ∈ ℂ, is considered, where h > 0 and E ∈ ℂ are parameters and v is a function analytic in a bounded domain D ⊂ ℂ. An asymptotic method is developed for studying its solutions in the domain D for small positive h. Bibliography: 4 titles.
About the authors
A. A. Fedotov
St.Petersburg State University
Author for correspondence.
Email: a.fedotov@spbu.ru
Russian Federation, St.Petersburg
E. V. Shchetka
St.Petersburg State University
Author for correspondence.
Email: sto16997@student.spbu.ru
Russian Federation, St.Petersburg