Superintegrable Systems with a Third Order Integrals of Motion

Details Superintegrable Systems with a Third Order Integrals of Motion Superintegrable Systems with a Third Order Integrals of Motion

2007-11-29

arxiv.org/abs/0711.4783v2

J. Phys. A: Math. Theor. 41 (2008) 304031.

Physics

Mathematical Physics

To appear in J. Phys A: Mathematical and Theoretical (SPE QTS5)

Scientific paper

10.1088/1751-8113/41/30/304031

Two-dimensional superintegrable systems with one third order and one lower
order integral of motion are reviewed. The fact that Hamiltonian systems with
higher order integrals of motion are not the same in classical and quantum
mechanics is stressed. New results on the use of classical and quantum third
order integrals are presented in Section 5 and 6.

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