Research output: Contribution to journal › Article › peer-review
Duality between integrable Stäckel systems. / Tsiganov, A. V.
In: Journal of Physics A: Mathematical and General, Vol. 32, No. 45, 12.11.1999, p. 7965-7982.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Duality between integrable Stäckel systems
AU - Tsiganov, A. V.
PY - 1999/11/12
Y1 - 1999/11/12
N2 - Canonical transformations of the extended phase space are applied to the integrable Stäckel systems. All these transformations may be associated with an ambiguity of the Abel map on the corresponding hyperelliptic curve. For some Stäckel systems with two degrees of freedom the 2 × 2 Lax representations and the dynamical r-matrix algebras are constructed.
AB - Canonical transformations of the extended phase space are applied to the integrable Stäckel systems. All these transformations may be associated with an ambiguity of the Abel map on the corresponding hyperelliptic curve. For some Stäckel systems with two degrees of freedom the 2 × 2 Lax representations and the dynamical r-matrix algebras are constructed.
UR - http://www.scopus.com/inward/record.url?scp=0033550136&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/32/45/311
DO - 10.1088/0305-4470/32/45/311
M3 - Article
AN - SCOPUS:0033550136
VL - 32
SP - 7965
EP - 7982
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 45
ER -
ID: 8483553