|XXXVI Workshop on Geometric Methods in Physics||2-8.07.2017|
|VI School on Geometry and Physics||26-30.06.2017|
Participants of Workshop
Participants of School
Negative heat capacity for a Klein-Gordon oscillator in non-commutative complex phase space
We obtain exact solutions to the two-dimensional Klein-Gordon oscillator in a non-commutative complex phase space to ﬁrst order in the non-commutativity parameter. We derive the exact noncommutative energy levels and show that the energy levels split to 2m levels. We ﬁnd that the non-commutativity plays the role of a magnetic ﬁeld interacting automatically with the spin of a particle induced by the non-commutativity of complex phase space. The effect of the non-commutativity parameter on the thermal properties is discussed. It is found that the dependence of the heat capacity CV on the non-commutative parameter gives rise to a negative quantity. Phenomenologically, this eﬀectively conﬁrms the presence of the eﬀects of self-gravitation induced by the non-commutativity of complex phase space.
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