A nonseparable quantum superintegrable system in 2D real Euclidean space

Details A nonseparable quantum superintegrable system in 2D real Euclidean space A nonseparable quantum superintegrable system in 2D real Euclidean space

2011-01-27

arxiv.org/abs/1101.5405v1

Physics

Mathematical Physics

Scientific paper

In this paper, we derive a nonseparable quantum superintegrable system in 2D
real Euclidean space. The Hamiltonian admits no second order integrals of
motion but does admit one third and one fourth order integral. We also obtain a
classical superintegrable system with the same properties. The quantum system
differs from the classical one by corrections proportional to $\hbar^2.$

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