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Berry phase for difference equations. / Fedotov, Alexander ; Shchetka, Ekaterina .

Days on Diffraction (DD), 2017: Proceedings of the International Conference. Institute of Electrical and Electronics Engineers Inc., 2017. стр. 113-115.

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Harvard

Fedotov, A & Shchetka, E 2017, Berry phase for difference equations. в Days on Diffraction (DD), 2017: Proceedings of the International Conference. Institute of Electrical and Electronics Engineers Inc., стр. 113-115, 2017 International Conference Days on Diffraction, DD 2017, St. Petersburg, Российская Федерация, 18/06/17. https://doi.org/10.1109/DD.2017.8168007

APA

Fedotov, A., & Shchetka, E. (2017). Berry phase for difference equations. в Days on Diffraction (DD), 2017: Proceedings of the International Conference (стр. 113-115). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2017.8168007

Vancouver

Fedotov A, Shchetka E. Berry phase for difference equations. в Days on Diffraction (DD), 2017: Proceedings of the International Conference. Institute of Electrical and Electronics Engineers Inc. 2017. стр. 113-115 https://doi.org/10.1109/DD.2017.8168007

Author

Fedotov, Alexander ; Shchetka, Ekaterina . / Berry phase for difference equations. Days on Diffraction (DD), 2017: Proceedings of the International Conference. Institute of Electrical and Electronics Engineers Inc., 2017. стр. 113-115

BibTeX

@inproceedings{a29412e56b5c4c0d9c69f18a49b05ebc,
title = "Berry phase for difference equations",
abstract = "We study solutions to the difference equation Ψ(z + h) = M(z)Ψ(z), z ϵ C, where h > 0 is a small constant parameter and M : C → SL(2, C) is a given analytic matrix valued function. We describe the behavior of its analytic solutions as h → 0. The asymptotic formulas contain an analog of the Berry phase, well-known in the theory of differential equations.",
author = "Alexander Fedotov and Ekaterina Shchetka",
year = "2017",
doi = "10.1109/DD.2017.8168007",
language = "English",
isbn = "978-1-5386-4797-4",
pages = "113--115",
booktitle = "Days on Diffraction (DD), 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2017 International Conference Days on Diffraction, DD 2017 ; Conference date: 18-06-2017 Through 22-06-2017",

}

RIS

TY - GEN

T1 - Berry phase for difference equations

AU - Fedotov, Alexander

AU - Shchetka, Ekaterina

PY - 2017

Y1 - 2017

N2 - We study solutions to the difference equation Ψ(z + h) = M(z)Ψ(z), z ϵ C, where h > 0 is a small constant parameter and M : C → SL(2, C) is a given analytic matrix valued function. We describe the behavior of its analytic solutions as h → 0. The asymptotic formulas contain an analog of the Berry phase, well-known in the theory of differential equations.

AB - We study solutions to the difference equation Ψ(z + h) = M(z)Ψ(z), z ϵ C, where h > 0 is a small constant parameter and M : C → SL(2, C) is a given analytic matrix valued function. We describe the behavior of its analytic solutions as h → 0. The asymptotic formulas contain an analog of the Berry phase, well-known in the theory of differential equations.

UR - http://www.pdmi.ras.ru/~dd/download/PROC17.pdf

U2 - 10.1109/DD.2017.8168007

DO - 10.1109/DD.2017.8168007

M3 - Conference contribution

SN - 978-1-5386-4797-4

SP - 113

EP - 115

BT - Days on Diffraction (DD), 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 International Conference Days on Diffraction, DD 2017

Y2 - 18 June 2017 through 22 June 2017

ER -

ID: 18943011