Partition function of the harmonic oscillator on a noncommutative plane

Authors: IRAJ JABBARI, AKBAR JAHAN, ZAFAR RIAZI

Abstract: We derive the partition function of the one-body and two-body systems of classical noncommutative harmonic oscillator in two dimensions. Then, we employ the path integral approach to the quantum noncommutative harmonic oscillator and derive the partition function of the both systems at finite temperature.

Keywords: Harmonic oscillator, noncommutaty, two-body

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