Noncommutative phase-space deformations applied to Yukawa and Lee-Wick potentials produce modified thermodynamic quantities and regions of negative heat capacity, interpreted as limitations of the semiclassical perturbative treatment.
So, for the calculation of the heat capacity, we need to obtain the average energy of the system, which is related to the partition function
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Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
Noncommutative phase-space deformations applied to Yukawa and Lee-Wick potentials produce modified thermodynamic quantities and regions of negative heat capacity, interpreted as limitations of the semiclassical perturbative treatment.