Partition Function of the Harmonic Oscillator on a Noncommutative Plane
I. Jabbari, A. Jahan, Z. Riazi
TL;DR
This paper derives the partition functions for classical and quantum noncommutative harmonic oscillators in two dimensions, providing insights into their thermodynamic properties using path integral methods.
Contribution
It presents the first derivation of partition functions for both classical and quantum noncommutative harmonic oscillators in two dimensions.
Findings
Partition functions for classical noncommutative oscillators derived.
Partition functions for quantum noncommutative oscillators derived using path integrals.
Analysis of thermodynamic properties at finite temperature.
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.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Non-Hermitian Physics · Algebraic structures and combinatorial models