Standard

Elliptic curve arithmetic and superintegrable systems. / Tsiganov, A. V.

In: Physica Scripta, Vol. 94, No. 8, 085207, 29.04.2019, p. 085207.

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

Harvard

Tsiganov, AV 2019, 'Elliptic curve arithmetic and superintegrable systems', Physica Scripta, vol. 94, no. 8, 085207, pp. 085207. https://doi.org/10.1088/1402-4896/ab0297

APA

Tsiganov, A. V. (2019). Elliptic curve arithmetic and superintegrable systems. Physica Scripta, 94(8), 085207. [085207]. https://doi.org/10.1088/1402-4896/ab0297

Vancouver

Tsiganov AV. Elliptic curve arithmetic and superintegrable systems. Physica Scripta. 2019 Apr 29;94(8):085207. 085207. https://doi.org/10.1088/1402-4896/ab0297

Author

Tsiganov, A. V. / Elliptic curve arithmetic and superintegrable systems. In: Physica Scripta. 2019 ; Vol. 94, No. 8. pp. 085207.

BibTeX

@article{f2ca986a24ac464ba19d957792647501,
title = "Elliptic curve arithmetic and superintegrable systems",
abstract = "The harmonic oscillator and the Kepler problem are superintegrable systems which admit more integrals of motion than degrees of freedom and all these integrals are polynomials in momenta. We present superintegrable deformations of the oscillator and the Kepler problem with algebraic and rational first integrals. Also, we discuss a family of superintegrable metrics on the two-dimensional sphere, which have similar first integrals.",
keywords = "harmonic oscillator, Kepler problem, superintegrable systems, algebraic and rational first integrals, Harmonic oscillator",
author = "Tsiganov, {A. V.}",
year = "2019",
month = apr,
day = "29",
doi = "10.1088/1402-4896/ab0297",
language = "Английский",
volume = "94",
pages = "085207",
journal = "Physica Scripta",
issn = "0031-8949",
publisher = "IOP Publishing Ltd.",
number = "8",

}

RIS

TY - JOUR

T1 - Elliptic curve arithmetic and superintegrable systems

AU - Tsiganov, A. V.

PY - 2019/4/29

Y1 - 2019/4/29

N2 - The harmonic oscillator and the Kepler problem are superintegrable systems which admit more integrals of motion than degrees of freedom and all these integrals are polynomials in momenta. We present superintegrable deformations of the oscillator and the Kepler problem with algebraic and rational first integrals. Also, we discuss a family of superintegrable metrics on the two-dimensional sphere, which have similar first integrals.

AB - The harmonic oscillator and the Kepler problem are superintegrable systems which admit more integrals of motion than degrees of freedom and all these integrals are polynomials in momenta. We present superintegrable deformations of the oscillator and the Kepler problem with algebraic and rational first integrals. Also, we discuss a family of superintegrable metrics on the two-dimensional sphere, which have similar first integrals.

KW - harmonic oscillator

KW - Kepler problem

KW - superintegrable systems

KW - algebraic and rational first integrals

KW - Harmonic oscillator

UR - http://www.mendeley.com/research/elliptic-curve-arithmetic-superintegrable-systems

UR - http://www.scopus.com/inward/record.url?scp=85069043389&partnerID=8YFLogxK

U2 - 10.1088/1402-4896/ab0297

DO - 10.1088/1402-4896/ab0297

M3 - статья

VL - 94

SP - 085207

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

IS - 8

M1 - 085207

ER -

ID: 41729427