Classical and quantum motion on the orbifold limit of the Eguchi-Hanson metric
Abstract
We investigate the behaviour of a particle moving on the quotient manifold M=C2/Z which is derived from the EH metric as the two centers approach each other. In the classical region of the configuration space we specify the physically acceptable solutions and observe a tendency of the radial wave function to concentrate around the conical singularity. Fot the quantum case, using Schr\"odinger's equation, we determine the energy spectra and the radial eigenfunctions for a class of potentials.
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