Classical and quantum motion on the orbifold limit of the Eguchi-Hanson metric

A. Hatzinikitas

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arXiv · hep-th/9808015

Classical and quantum motion on the orbifold limit of the Eguchi-Hanson metric

A. Hatzinikitas

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Abstract

We investigate the behaviour of a particle moving on the quotient manifold $M=C^2/Z_$ 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 Schrödinger's equation, we determine the energy spectra and the radial eigenfunctions for a class of potentials.

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A. Hatzinikitas. 1999-06-18. Classical and quantum motion on the orbifold limit of the Eguchi-Hanson metric. https://arxiv.org/abs/hep-th/9808015

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