Standard

A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. / Tsiganov, A. V.

In: Journal of Physics A: Mathematical and General, Vol. 22, No. 3, 003, 01.12.1989.

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

Harvard

Tsiganov, AV 1989, 'A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top', Journal of Physics A: Mathematical and General, vol. 22, no. 3, 003. https://doi.org/10.1088/0305-4470/22/3/003

APA

Tsiganov, A. V. (1989). A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. Journal of Physics A: Mathematical and General, 22(3), [003]. https://doi.org/10.1088/0305-4470/22/3/003

Vancouver

Tsiganov AV. A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. Journal of Physics A: Mathematical and General. 1989 Dec 1;22(3). 003. https://doi.org/10.1088/0305-4470/22/3/003

Author

Tsiganov, A. V. / A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. In: Journal of Physics A: Mathematical and General. 1989 ; Vol. 22, No. 3.

BibTeX

@article{cb123a5349834dc09f90796365a20b10,
title = "A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top",
abstract = "The authors present L operators both for the special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. These are quantum systems integrable by the quantum inverse scattering (R-matrix) method. L operators, being 2*2 matrices, satisfy an algebra generated by an R matrix of the XXX type. The close connection between the two models is demonstrated. They carry out a non-obvious separation of variables and also give a dynamical group scheme for the eigenstate problem of Neumann's system. This separation differs from those in Euler angles and allows them to find eigenenergies in an effective way.",
author = "Tsiganov, {A. V.}",
year = "1989",
month = dec,
day = "1",
doi = "10.1088/0305-4470/22/3/003",
language = "English",
volume = "22",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top

AU - Tsiganov, A. V.

PY - 1989/12/1

Y1 - 1989/12/1

N2 - The authors present L operators both for the special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. These are quantum systems integrable by the quantum inverse scattering (R-matrix) method. L operators, being 2*2 matrices, satisfy an algebra generated by an R matrix of the XXX type. The close connection between the two models is demonstrated. They carry out a non-obvious separation of variables and also give a dynamical group scheme for the eigenstate problem of Neumann's system. This separation differs from those in Euler angles and allows them to find eigenenergies in an effective way.

AB - The authors present L operators both for the special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top. These are quantum systems integrable by the quantum inverse scattering (R-matrix) method. L operators, being 2*2 matrices, satisfy an algebra generated by an R matrix of the XXX type. The close connection between the two models is demonstrated. They carry out a non-obvious separation of variables and also give a dynamical group scheme for the eigenstate problem of Neumann's system. This separation differs from those in Euler angles and allows them to find eigenenergies in an effective way.

UR - http://www.scopus.com/inward/record.url?scp=0039739117&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/22/3/003

DO - 10.1088/0305-4470/22/3/003

M3 - Article

AN - SCOPUS:0039739117

VL - 22

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 3

M1 - 003

ER -

ID: 36981642