Standard

Transformation of the Stäckel matrices preserving superintegrability. / Tsiganov, A. V.

In: Journal of Mathematical Physics, Vol. 60, No. 4, 0427011, 01.04.2019.

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

Harvard

Tsiganov, AV 2019, 'Transformation of the Stäckel matrices preserving superintegrability', Journal of Mathematical Physics, vol. 60, no. 4, 0427011. https://doi.org/10.1063/1.5057885

APA

Tsiganov, A. V. (2019). Transformation of the Stäckel matrices preserving superintegrability. Journal of Mathematical Physics, 60(4), [0427011]. https://doi.org/10.1063/1.5057885

Vancouver

Tsiganov AV. Transformation of the Stäckel matrices preserving superintegrability. Journal of Mathematical Physics. 2019 Apr 1;60(4). 0427011. https://doi.org/10.1063/1.5057885

Author

Tsiganov, A. V. / Transformation of the Stäckel matrices preserving superintegrability. In: Journal of Mathematical Physics. 2019 ; Vol. 60, No. 4.

BibTeX

@article{9af70b1f964141c99fd657eaeb5d6723,
title = "Transformation of the St{\"a}ckel matrices preserving superintegrability",
abstract = "If we take a superintegrable St{\"a}ckel system and make variables {"}faster{"} or {"}slower,{"} that is, equivalent to a trivial transformation of the St{\"a}ckel matrix and potentials, then we obtain an infinite family of superintegrable systems with explicitly defined additional integrals of motion. We present some examples of such transformations associated with angle variables expressed via logarithmic functions.",
keywords = "SYSTEMS, DUALITY",
author = "Tsiganov, {A. V.}",
year = "2019",
month = apr,
day = "1",
doi = "10.1063/1.5057885",
language = "English",
volume = "60",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "4",

}

RIS

TY - JOUR

T1 - Transformation of the Stäckel matrices preserving superintegrability

AU - Tsiganov, A. V.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - If we take a superintegrable Stäckel system and make variables "faster" or "slower," that is, equivalent to a trivial transformation of the Stäckel matrix and potentials, then we obtain an infinite family of superintegrable systems with explicitly defined additional integrals of motion. We present some examples of such transformations associated with angle variables expressed via logarithmic functions.

AB - If we take a superintegrable Stäckel system and make variables "faster" or "slower," that is, equivalent to a trivial transformation of the Stäckel matrix and potentials, then we obtain an infinite family of superintegrable systems with explicitly defined additional integrals of motion. We present some examples of such transformations associated with angle variables expressed via logarithmic functions.

KW - SYSTEMS

KW - DUALITY

UR - http://www.scopus.com/inward/record.url?scp=85065626089&partnerID=8YFLogxK

U2 - 10.1063/1.5057885

DO - 10.1063/1.5057885

M3 - Article

AN - SCOPUS:85065626089

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

M1 - 0427011

ER -

ID: 42151912