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Quantum Mechanics on the Pointed Plane

In: Symmetries in Science X

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  • Christoph Schulte

    (TU Clausthal, Arnold Sommerfeld Institut)

Abstract

We investigate the quantum mechanical Hamiltonian on the pointed plane and compare the situations as they occur in Borel quantization and in the Aharonov Bohm effect. In the first part we will show that there exists — for a wide class of potentials -a family of extensions of the Hamiltonian that can be parameterized in dependence of a quantization parameter. In the second part we will investigate the dependence of the eigenvalues on the quantization mapping and self-adjoint extension for the example of a special potential.

Suggested Citation

  • Christoph Schulte, 1998. "Quantum Mechanics on the Pointed Plane," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 357-364, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_22
    DOI: 10.1007/978-1-4899-1537-5_22
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