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Quantum Mechanical Problems with q-Deformations and over the p-Adic Number Fields

In: Symmetries in Science IX

Author

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  • I. H. Duru

    (University of Trakya, Mathematics Department
    TUBITAK, Marmara Research Centre, Physics Department)

Abstract

When we are interested in the quantum mechanical motion of a particle over a configuration space which is not equivalent either globally or locally to ℝn, the Schrödinger equation approach is not the most convenient method. First of all, when we do not have a differentiable manifold, it is difficult to find the correct operators replacing the derivatives. On the other hand since it is always possible to construct an integration theory on any given set or number field, the path integration may in principle be the suitable method of quantization.

Suggested Citation

  • I. H. Duru, 1997. "Quantum Mechanical Problems with q-Deformations and over the p-Adic Number Fields," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science IX, pages 93-97, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-5921-4_7
    DOI: 10.1007/978-1-4615-5921-4_7
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