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A two-particle system is studied in a space with noncommutativity of coordinates and noncom- mutativity 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.

Two-particle system with harmonic oscillator interaction in noncommutative phase space