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Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. / Fedotov, Alexander ; Shchetka, Ekaterina .

In: Applicable Analysis, 11.03.2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Fedotov, A & Shchetka, E 2020, 'Difference equations in the complex plane: quasiclassical asymptotics and Berry phase', Applicable Analysis. https://doi.org/10.1080/00036811.2020.1738400

APA

Fedotov, A., & Shchetka, E. (2020). Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. Applicable Analysis. https://doi.org/10.1080/00036811.2020.1738400

Vancouver

Fedotov A, Shchetka E. Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. Applicable Analysis. 2020 Mar 11. https://doi.org/10.1080/00036811.2020.1738400

Author

Fedotov, Alexander ; Shchetka, Ekaterina . / Difference equations in the complex plane: quasiclassical asymptotics and Berry phase. In: Applicable Analysis. 2020.

BibTeX

@article{f1ca9d0532174fada51568924391e7e0,
title = "Difference equations in the complex plane: quasiclassical asymptotics and Berry phase",
abstract = "We consider the equation ѱ(z+h)=M(z)ѱ(z), where z ∈ ℂ, h>0 is a parameter, and M:ℂ→SL(2,ℂ) is a given analytic function. We get asymptotics of its analytic solutions as h → 0. The asymptotic formulas contain an analog of the geometric (Berry) phase well known in the quasiclassical analysis of differential equations.",
keywords = "39A45, 81Q20, Difference equation, Grigory Panasenko, complex plane, geometric phase, quasiclassical asymptotics",
author = "Alexander Fedotov and Ekaterina Shchetka",
year = "2020",
month = mar,
day = "11",
doi = "10.1080/00036811.2020.1738400",
language = "English",
journal = "Applicable Analysis",
issn = "0003-6811",
publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - Difference equations in the complex plane: quasiclassical asymptotics and Berry phase

AU - Fedotov, Alexander

AU - Shchetka, Ekaterina

PY - 2020/3/11

Y1 - 2020/3/11

N2 - We consider the equation ѱ(z+h)=M(z)ѱ(z), where z ∈ ℂ, h>0 is a parameter, and M:ℂ→SL(2,ℂ) is a given analytic function. We get asymptotics of its analytic solutions as h → 0. The asymptotic formulas contain an analog of the geometric (Berry) phase well known in the quasiclassical analysis of differential equations.

AB - We consider the equation ѱ(z+h)=M(z)ѱ(z), where z ∈ ℂ, h>0 is a parameter, and M:ℂ→SL(2,ℂ) is a given analytic function. We get asymptotics of its analytic solutions as h → 0. The asymptotic formulas contain an analog of the geometric (Berry) phase well known in the quasiclassical analysis of differential equations.

KW - 39A45

KW - 81Q20

KW - Difference equation

KW - Grigory Panasenko

KW - complex plane

KW - geometric phase

KW - quasiclassical asymptotics

UR - http://www.scopus.com/inward/record.url?scp=85081593005&partnerID=8YFLogxK

U2 - 10.1080/00036811.2020.1738400

DO - 10.1080/00036811.2020.1738400

M3 - Article

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

ER -

ID: 50611809