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The classical and quantum particle on a flag manifold. / Bykov, David; Kuzovchikov, A.

в: Classical and Quantum Gravity, Том 41, № 20, 20.08.2024.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bykov, D & Kuzovchikov, A 2024, 'The classical and quantum particle on a flag manifold', Classical and Quantum Gravity, Том. 41, № 20. https://doi.org/10.1088/1361-6382/ad7189

APA

Bykov, D., & Kuzovchikov, A. (2024). The classical and quantum particle on a flag manifold. Classical and Quantum Gravity, 41(20). https://doi.org/10.1088/1361-6382/ad7189

Vancouver

Bykov D, Kuzovchikov A. The classical and quantum particle on a flag manifold. Classical and Quantum Gravity. 2024 Авг. 20;41(20). https://doi.org/10.1088/1361-6382/ad7189

Author

Bykov, David ; Kuzovchikov, A. / The classical and quantum particle on a flag manifold. в: Classical and Quantum Gravity. 2024 ; Том 41, № 20.

BibTeX

@article{dbee30dbe8c245ffb606bcb6a80ca892,
title = "The classical and quantum particle on a flag manifold",
abstract = "In the present paper we consider two related problems, i.e. the description of geodesics and the calculation of the spectrum of the Laplace-Beltrami operator on a flag manifold. We show that there exists a family of invariant metrics such that both problems can be solved simply and explicitly. In order to determine the spectrum of the Laplace-Beltrami operator, we construct natural, finite-dimensional approximations (of spin chain type) to the Hilbert space of functions on a flag manifold. {\textcopyright} 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.",
keywords = "flag manifold, geodesic, Laplace-Beltrami operator, path integral, spin chain",
author = "David Bykov and A. Kuzovchikov",
note = "Export Date: 21 October 2024 Адрес для корреспонденции: Bykov, D.; Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, Russian Federation; эл. почта: bykov@mi-ras.ru Сведения о финансировании: Russian Science Foundation, RSF, 22-72-10122 Текст о финансировании 1: Sections 1-2 were written with the support of the Foundation for the Advancement of Theoretical Physics and Mathematics \u226A BASIS \u226B . Sections 3-6 were supported by the Russian Science Foundation Grant No 22-72-10122. We would like to thank S Derkachov, A Goncharov, S Gorchinskiy, V Krivorol, M Markov, A Selemenchuk for useful discussions.",
year = "2024",
month = aug,
day = "20",
doi = "10.1088/1361-6382/ad7189",
language = "Английский",
volume = "41",
journal = "Classical and Quantum Gravity",
issn = "0264-9381",
publisher = "IOP Publishing Ltd.",
number = "20",

}

RIS

TY - JOUR

T1 - The classical and quantum particle on a flag manifold

AU - Bykov, David

AU - Kuzovchikov, A.

N1 - Export Date: 21 October 2024 Адрес для корреспонденции: Bykov, D.; Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina str. 8, Russian Federation; эл. почта: bykov@mi-ras.ru Сведения о финансировании: Russian Science Foundation, RSF, 22-72-10122 Текст о финансировании 1: Sections 1-2 were written with the support of the Foundation for the Advancement of Theoretical Physics and Mathematics \u226A BASIS \u226B . Sections 3-6 were supported by the Russian Science Foundation Grant No 22-72-10122. We would like to thank S Derkachov, A Goncharov, S Gorchinskiy, V Krivorol, M Markov, A Selemenchuk for useful discussions.

PY - 2024/8/20

Y1 - 2024/8/20

N2 - In the present paper we consider two related problems, i.e. the description of geodesics and the calculation of the spectrum of the Laplace-Beltrami operator on a flag manifold. We show that there exists a family of invariant metrics such that both problems can be solved simply and explicitly. In order to determine the spectrum of the Laplace-Beltrami operator, we construct natural, finite-dimensional approximations (of spin chain type) to the Hilbert space of functions on a flag manifold. © 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.

AB - In the present paper we consider two related problems, i.e. the description of geodesics and the calculation of the spectrum of the Laplace-Beltrami operator on a flag manifold. We show that there exists a family of invariant metrics such that both problems can be solved simply and explicitly. In order to determine the spectrum of the Laplace-Beltrami operator, we construct natural, finite-dimensional approximations (of spin chain type) to the Hilbert space of functions on a flag manifold. © 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.

KW - flag manifold

KW - geodesic

KW - Laplace-Beltrami operator

KW - path integral

KW - spin chain

UR - https://www.mendeley.com/catalogue/322d40a0-8b6a-3b31-8c8a-7f4dc122234d/

U2 - 10.1088/1361-6382/ad7189

DO - 10.1088/1361-6382/ad7189

M3 - статья

VL - 41

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 20

ER -

ID: 126223539