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G. Gyorgyi (2005)
KEPLER ' S EQUATION , FOCK VARIABLES , BACRY ' S GENERATORS AND DIRAC BRACKETS
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Sur le même sujet: Note III
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Leonard Euler: Addition theorems and superintegrable systemsRegular and Chaotic Dynamics, 14
The sum of elliptic integrals simultaneously determines orbits in the Kepler problem and the addition of divisors on elliptic curves. Periodic motion of a body in physical space is defined by symmetries, whereas periodic motion of divisors is defined by a fixed point on the curve. The algebra of the first integrals associated with symmetries is a well-known mathematical object, whereas the algebra of the first integrals associated with the coordinates of fixed points is unknown. In this paper, we discuss polynomial algebras of nonpolynomial first integrals of superintegrable systems associated with elliptic curves.
Regular and Chaotic Dynamics – Springer Journals
Published: Aug 6, 2019
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