GENERALIZED PARTITION FUNCTION FOR BOSE STATISTICS AND THERMODYNAMIC FUNCTIONS

Based on the density operator's coherent state representation [Phys. Lett.A252, 281 (1999)], we extend the well-known Bose distribution's partition function Ξ [Formula: see text] for ideal photon gas [Formula: see text] to that of an assembly of photon gas interacting with nonlinear medium described by the Hamiltonian [Formula: see text], where A=(a1,a2,…,an), Ω is a symmetric matrix, and we report that the corresponding partition function is [Formula: see text] As a result, the generalized Bose distribution and thermodynamic functions are derived.

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DENSITY MATRIX AND PARTITION FUNCTION FOR A GENERALIZED NONDEGENERATE PARAMETRIC AMPLIFIER GAINED VIA A TYPE OF TWO-MODE SPECIAL SQUEEZED COHERENT STATE REPRESENTATION

Modern Physics Letters B ◽

10.1142/s0217984901001884 ◽

2001 ◽

Vol 15 (11) ◽

pp. 351-357

Author(s):

HONGYI FAN ◽

YUE FAN ◽

MINGZHAI SUN

Keyword(s):

Partition Function ◽

Density Matrix ◽

Coherent State ◽

Parametric Amplifier ◽

State Representation ◽

Complete Representation ◽

Squeezed Coherent State

By introducing a type of two-mode special squeezed coherent state, we directly derive the density matrix and partition function for a generalized nondegenerate parametric amplifier. The derivation is neat because the states make up a new, complete representation.

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GENERALIZED FERMI PARTITION FUNCTION OBTAINED VIA COHERENT STATE REPRESENTATION OF THE DENSITY OPERATOR

Modern Physics Letters A ◽

10.1142/s0217732399002571 ◽

1999 ◽

Vol 14 (35) ◽

pp. 2471-2479 ◽

Cited By ~ 3

Author(s):

HONG-YI FAN ◽

HUI ZOU ◽

YUE FAN

Keyword(s):

Partition Function ◽

Coherent State ◽

Harmonic Oscillator ◽

Density Operator ◽

Fermi System ◽

State Representation

We generalize the well-known partition function of Fermi harmonic oscillator (H =ω(f+f + ½))[Formula: see text] to [Formula: see text] for Fermi system described by the n-mode fermionic Hamiltonian [Formula: see text]. This result is derived via constructing the fermionic coherent state representation of the density operator [Formula: see text] in which [Formula: see text] is identified as exp {-β Γ Π}.

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Cicularly discretized coherent state representation and its application in quantum physics

Chemical Physics ◽

10.1016/j.chemphys.2019.110656 ◽

2020 ◽

Vol 531 ◽

pp. 110656

Author(s):

Hua Feng ◽

Bo-Wen Si ◽

Shu-Lin Cong

Keyword(s):

Coherent State ◽

Quantum Physics ◽

State Representation

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One-dimensional coherent-state representation on a circle in phase space

Physical Review A ◽

10.1103/physreva.50.4293 ◽

1994 ◽

Vol 50 (5) ◽

pp. 4293-4297 ◽

Cited By ~ 27

Author(s):

P. Domokos ◽

P. Adam ◽

J. Janszky

Keyword(s):

Phase Space ◽

Coherent State ◽

State Representation ◽

One Dimensional

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From coherent state representation to unitary operators via the IWOP technique

Optik ◽

10.1016/j.ijleo.2018.09.149 ◽

2019 ◽

Vol 178 ◽

pp. 372-378 ◽

Cited By ~ 2

Author(s):

Ying Xia ◽

Liyun Hu ◽

Huan Zhang ◽

Haoliang Zhang

Keyword(s):

Coherent State ◽

Iwop Technique ◽

Unitary Operators ◽

State Representation ◽

The Iwop Technique

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Off-Center Coherent-State Representation and an Application to Semiclassics

Progress of Theoretical Physics ◽

10.1143/ptp.124.53 ◽

2010 ◽

Vol 124 (1) ◽

pp. 53-70 ◽

Cited By ~ 1

Author(s):

F. Parisio

Keyword(s):

Coherent State ◽

State Representation

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On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime

Advances in High Energy Physics ◽

10.1155/2017/7289625 ◽

2017 ◽

Vol 2017 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Kazi Ashraful Alam ◽

Mir Mehedi Faruk

Keyword(s):

Black Holes ◽

Distribution Function ◽

Phase Space ◽

Partition Function ◽

Boltzmann Distribution ◽

Einstein Distribution ◽

Entropy Bound ◽

Photon Gas ◽

Noncommutative Spacetime ◽

Bose Einstein

Entropy bound for the photon gas in a noncommutative (NC) spacetime where phase space is with compact spatial momentum space, previously studied by Nozari et al., has been reexamined with the correct distribution function. While Nozari et al. have employed Maxwell-Boltzmann distribution function to investigate thermodynamic properties of photon gas, we have employed the correct distribution function, that is, Bose-Einstein distribution function. No such entropy bound is observed if Bose-Einstein distribution is employed to solve the partition function. As a result, the reported analogy between thermodynamics of photon gas in such NC spacetime and Bekenstein-Hawking entropy of black holes should be disregarded.

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