Journal of Physical Studies 17(3), Article 3001 [4 pages] (2013) DOI: https://doi.org/10.30970/jps.17.3001 EXACT SOLUTION OF HARMONICAL OSCILLATOR IN SPACE WITH SPIN NONCOMMUTATIVITY V. M. Vasyuta Department for Theoretical Physics, Ivan Franko National University of Lviv, 12, Drahomanov St., Lviv, UA--79005, Ukraine, waswasiuta@gmail.com

A new model of spin noncommutativity is proposed and its connection with the existing algebras is found. It is shown that in proposed algebra minimal length exists and its value depends on the sign of parameter of noncommutativity. The 3D harmonical oscillator is solved exactly, both the spectrum and eigenfunctions of oscillator are obtained and analyzed.

PACS number(s): 02.40.Gh, 11.10.Nx, 03.65.-w

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