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

I. H. Duru
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I. H. Duru: University of Trakya, Mathematics Department

A chapter in Symmetries in Science IX, 1997, pp 93-97 from Springer

Abstract: 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.

Keywords: Green Function; Morse Potential; Quantum Mechanical Problem; Oscillator Wave Function; Casimir Interaction (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-1-4615-5921-4_7

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