A nonseparable quantum superintegrable system in 2D real Euclidean space

作者:Post Sarah*; Winternitz Pavel
来源:Journal of Physics A-Mathematical and Theoretical, 2011, 44(16): 162001.
DOI:10.1088/1751-8113/44/16/162001

摘要

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 an integral of third-order and an integral of fourth-order. We also obtain a classical superintegrable system with the same properties. The quantum system differs from the classical one by corrections proportional to (h) over bar (2).

  • 出版日期2011-4-22