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Spectrum of the three-dimensional fuzzy well

Chandra, N and Groenewald, HW and Kriel, JN and Scholtz, FG and Vaidya, S (2014) Spectrum of the three-dimensional fuzzy well. In: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 47 (44).

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Official URL: http://dx.doi.org/ 10.1088/1751-8113/47/44/445203


We develop the formalism of quantum mechanics on three-dimensional fuzzy space and solve the Schrodinger equation for the free particle, finite and infinite fuzzy wells. We show that all results reduce to the appropriate commutative limits. A high energy cut-off is found for the free particle spectrum, which also results in the modification of the high energy dispersion relation. An ultra-violet/infra-red duality is manifest in the free particle spectrum. The finite well also has an upper bound on the possible energy eigenvalues. The phase shifts due to scattering around the finite fuzzy potential well are calculated.

Item Type: Journal Article
Additional Information: Copyrights for this articles belongs to the IOP PUBLISHING LTD, TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 14 Dec 2014 09:44
Last Modified: 14 Dec 2014 09:44
URI: http://eprints.iisc.ac.in/id/eprint/50423

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