Thermodynamics on Noncommutative Geometry in Coherent State Formalism

dc.creatorHuang, Wung-Hong
dc.creatorHuang, Kuo-Wei
dc.date2008-08-04
dc.date2008-12-19
dc.date.accessioned2026-07-07T12:30:15Z
dc.date.available2026-07-07T12:30:15Z
dc.descriptionThe thermodynamics of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual "attraction (repulsion) potential" between boson (fermion) in the high temperature limit. The characters could be traced to the fact that, the particle with mass $m$ in noncommutative thermal geometry with noncommutativity $θ$ and temperature $T$ will correspond to that in the commutative background with temperature $T(1+kTmθ)^{-1}$. Such a correspondence implies that the ideal gas energy will asymptotically approach to a finite limiting value as that on commutative geometry at $T_θ= (kmθ)^{-1}$. We also investigate the squeezed coherent states and see that they could have arbitrary mean energy. The thermal properties of those systems are calculated and compared to each other. We find that the heat capacity of the squeezed coherent states of boson and fermion on the noncommutative geometry have different values, contrast to that on the commutative geometry.
dc.descriptionAdd analysis about thermodynamics of squeezed coherent state, Latex 12 pages
dc.identifierhttps://arxiv.org/abs/0808.0324
dc.identifierhttp://arxiv.org/abs/0808.0324
dc.identifierPhys.Lett.B670:416-420,2009
dc.identifierdoi:10.1016/j.physletb.2008.11.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216076
dc.subjectHigh Energy Physics - Theory
dc.titleThermodynamics on Noncommutative Geometry in Coherent State Formalism
dc.typetext

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