Quantum Mechanics on the h-deformed Quantum Plane

Abstract

We find the deformed Heisenberg algebra and the Laplace-Beltrami operator on the extended h-deformed quantum plane and solve the Schrödinger equations explicitly for simple systems on the quantum plane. In the commutative limit the behavior of a quantum particle on the quantum plane becomes that of the quantum particle on the Poincaré half-plane, a surface of constant negative Gaussian curvature.

Cite this paper

@inproceedings{Cho1998QuantumMO, title={Quantum Mechanics on the h-deformed Quantum Plane}, author={Sunggoo Cho}, year={1998} }