Quantization of a particle on a two-dimensional manifold of constant curvature
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, University of Texas, Edinburg, Texas 78540 (United States)
The formulation of quantum mechanics on spaces of constant curvature is studied. It is shown how a transition from a classical system to the quantum case can be accomplished by the quantization of the Noether momenta. These can be determined by means of Lie differentiation of the metric which defines the manifold. For the metric examined here, it is found that the resulting Schrödinger equation is separable and the spectrum and eigenfunctions can be investigated in detail.
- OSTI ID:
- 22305855
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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