Quantum mechanics on the h-deformed quantum plane

@article{Cho1998QuantumMO,
  title={Quantum mechanics on the h-deformed quantum plane},
  author={Sunggoo Cho},
  journal={Journal of Physics A},
  year={1998},
  volume={32},
  pages={2091-2102}
}
  • Sunggoo Cho
  • Published 25 April 1998
  • Physics
  • Journal of Physics A
We find the covariant deformed Heisenberg algebra and the Laplace-Beltrami operator on the extended h-deformed quantum plane and solve the Schrodinger equations explicitly for some physical systems on the quantum plane. In the commutative limit the behaviour of a quantum particle on the quantum plane becomes that of the quantum particle on the Poincare half-plane, a surface of constant negative Gaussian curvature. We show that the bound state energy spectra for particles under specific… 
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