Research output: Contribution to journal › Article › peer-review
The Complex WKB Method for Difference Equations in Bounded Domains. / Fedotov, A. A. ; Shchetka, E. V. .
In: Journal of Mathematical Sciences, Vol. 224, No. 1, 2017, p. 157-169.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - The Complex WKB Method for Difference Equations in Bounded Domains
AU - Fedotov, A. A.
AU - Shchetka, E. V.
N1 - Fedotov, A.A., Shchetka, E.V. The Complex WKB Method for Difference Equations in Bounded Domains. J Math Sci 224, 157–169 (2017). https://doi.org/10.1007/s10958-017-3402-8
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
U2 - 10.1007/s10958-017-3402-8
DO - 10.1007/s10958-017-3402-8
M3 - Article
VL - 224
SP - 157
EP - 169
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 1
ER -
ID: 7747504