Journal of Physical Studies 21(3), Article 3001 [6 pages] (2017) DOI: https://doi.org/10.30970/jps.21.3001 TWO-PARTICLE SYSTEM WITH HARMONIC OSCILLATOR INTERACTION IN NONCOMMUTATIVE PHASE SPACE Kh. P. Gnatenko, V. M. Tkachuk Ivan Franko National University of Lviv, Department for Theoretical Physics, 12, Drahomanov St., Lviv, 79005, Ukraine, e-mail: khrystyna.gnatenko@gmail.com, voltkachuk@gmail.com

A two-particle system is studied in a space with noncommutativity of coordinates and noncommutativity of momenta. We consider the case when different particles feel noncommutativity with different parameters, which are determined by their masses. We have found exactly the spectrum of a two-particle system with harmonic oscillator interaction in the noncommutative phase space.

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

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