Standard

Difference equations, uniform quasiclassical asymptotics and Airy functions. / Fedotov, A. ; Klopp, F.

Days on diffraction 2018. Saint Petersburg : Institute of Electrical and Electronics Engineers Inc., 2018. p. 98-102.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Fedotov, A & Klopp, F 2018, Difference equations, uniform quasiclassical asymptotics and Airy functions. in Days on diffraction 2018. Institute of Electrical and Electronics Engineers Inc., Saint Petersburg, pp. 98-102, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Russian Federation, 4/06/18. https://doi.org/10.1109/DD.2018.8553493

APA

Fedotov, A., & Klopp, F. (2018). Difference equations, uniform quasiclassical asymptotics and Airy functions. In Days on diffraction 2018 (pp. 98-102). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8553493

Vancouver

Fedotov A, Klopp F. Difference equations, uniform quasiclassical asymptotics and Airy functions. In Days on diffraction 2018. Saint Petersburg: Institute of Electrical and Electronics Engineers Inc. 2018. p. 98-102 https://doi.org/10.1109/DD.2018.8553493

Author

Fedotov, A. ; Klopp, F. / Difference equations, uniform quasiclassical asymptotics and Airy functions. Days on diffraction 2018. Saint Petersburg : Institute of Electrical and Electronics Engineers Inc., 2018. pp. 98-102

BibTeX

@inproceedings{3eaa9e072c0b429d829cfeb211e47c89,
title = "Difference equations, uniform quasiclassical asymptotics and Airy functions",
abstract = "We consider the second order difference equation ψ(z + h) + ψ(z - h) + v(z)ψ(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h → 0 the analytic solutions to this equation have quasiclassical behavior. In this note we describe their uniform asymptotics in neighborhoods of simple turning points, the neighborhoods being independent of h.",
keywords = "Turning, Diffraction, Eigenvalues and eigenfunctions, Physics, Magnetic domains, Taylor series",
author = "A. Fedotov and F. Klopp",
year = "2018",
doi = "10.1109/DD.2018.8553493",
language = "English",
pages = "98--102",
booktitle = "Days on diffraction 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2018 International Conference Days on Diffraction, DD 2018 ; Conference date: 04-06-2018 Through 08-06-2018",

}

RIS

TY - GEN

T1 - Difference equations, uniform quasiclassical asymptotics and Airy functions

AU - Fedotov, A.

AU - Klopp, F.

PY - 2018

Y1 - 2018

N2 - We consider the second order difference equation ψ(z + h) + ψ(z - h) + v(z)ψ(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h → 0 the analytic solutions to this equation have quasiclassical behavior. In this note we describe their uniform asymptotics in neighborhoods of simple turning points, the neighborhoods being independent of h.

AB - We consider the second order difference equation ψ(z + h) + ψ(z - h) + v(z)ψ(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h → 0 the analytic solutions to this equation have quasiclassical behavior. In this note we describe their uniform asymptotics in neighborhoods of simple turning points, the neighborhoods being independent of h.

KW - Turning

KW - Diffraction

KW - Eigenvalues and eigenfunctions

KW - Physics

KW - Magnetic domains

KW - Taylor series

UR - http://www.pdmi.ras.ru/~dd/download/PROC18.pdf

U2 - 10.1109/DD.2018.8553493

DO - 10.1109/DD.2018.8553493

M3 - Conference contribution

SP - 98

EP - 102

BT - Days on diffraction 2018

PB - Institute of Electrical and Electronics Engineers Inc.

CY - Saint Petersburg

T2 - 2018 International Conference Days on Diffraction, DD 2018

Y2 - 4 June 2018 through 8 June 2018

ER -

ID: 35751925