Thermodynamics on noncommutative geometry in coherent state formalism

Wung-Hong Huang, Kuo Wei Huang

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The 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 + k T m θ) -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 = (k m θ) -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.

Original languageEnglish
Pages (from-to)416-420
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume670
Issue number4-5
DOIs
Publication statusPublished - 2009 Jan 5

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formalism
thermodynamics
geometry
ideal gas
bosons
fermions
attraction
thermodynamic properties
specific heat
temperature
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Thermodynamics on noncommutative geometry in coherent state formalism",
abstract = "The 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 + k T m θ) -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 = (k m θ) -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.",
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Thermodynamics on noncommutative geometry in coherent state formalism. / Huang, Wung-Hong; Huang, Kuo Wei.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 670, No. 4-5, 05.01.2009, p. 416-420.

Research output: Contribution to journalArticle

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