### 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 language | English |
---|---|

Pages (from-to) | 416-420 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 670 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - 2009 Jan 5 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*670*(4-5), 416-420. https://doi.org/10.1016/j.physletb.2008.11.012

}

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 670, no. 4-5, pp. 416-420. https://doi.org/10.1016/j.physletb.2008.11.012

**Thermodynamics on noncommutative geometry in coherent state formalism.** / Huang, Wung-Hong; Huang, Kuo Wei.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Thermodynamics on noncommutative geometry in coherent state formalism

AU - Huang, Wung-Hong

AU - Huang, Kuo Wei

PY - 2009/1/5

Y1 - 2009/1/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=57649101983&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57649101983&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2008.11.012

DO - 10.1016/j.physletb.2008.11.012

M3 - Article

AN - SCOPUS:57649101983

VL - 670

SP - 416

EP - 420

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-5

ER -