We show that a known superintegrable system in two-dimensional real Euclidean space (Post and Winternitz 2011 J. Phys. A: Math. Theor. 44 162001) can be transformed into a linear third-order equation: consequently we construct many autonomous integrals—polynomials up to order 18—for the same system. The reduction method and the connection between Lie symmetries and Jacobi last multiplier are used.
M.C. Nucci, S. Post (2012). Lie symmetries and superintegrability. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(48), 1-8 [10.1088/1751-8113/45/48/482001].
Lie symmetries and superintegrability
M.C. Nucci;
2012
Abstract
We show that a known superintegrable system in two-dimensional real Euclidean space (Post and Winternitz 2011 J. Phys. A: Math. Theor. 44 162001) can be transformed into a linear third-order equation: consequently we construct many autonomous integrals—polynomials up to order 18—for the same system. The reduction method and the connection between Lie symmetries and Jacobi last multiplier are used.File in questo prodotto:
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