Bose–Einstein condensation of a q-deformed boson system in a harmonic potential trap

2012 ◽  
Vol 391 (3) ◽  
pp. 563-571 ◽  
Author(s):  
Qi-Jun Zeng ◽  
Ze Cheng ◽  
Jian-Hui Yuan
Keyword(s):  
Harmonic Potential ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Boson System ◽  
Potential Trap ◽  
Bose Einstein

Bose-Einstein condensation of large numbers of atoms in a magnetic time-averaged orbiting potential trap

1998 ◽  
Vol 57 (6) ◽  
pp. R4114-R4117 ◽  
Author(s):  
D. J. Han ◽  
R. H. Wynar ◽  
Ph. Courteille ◽  
D. J. Heinzen
Keyword(s):  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Large Numbers ◽  
Potential Trap ◽  
Bose Einstein

BOSE–EINSTEIN CONDENSATION OF PARTICLES TRAPPED IN A BOUNDED HARMONIC POTENTIAL

2001 ◽  
Vol 15 (15) ◽  
pp. 2169-2191 ◽  
Author(s):  
SHALINI LUMB ◽  
S. K. MUTHU
Keyword(s):  
Finite Number ◽  
Specific Heat ◽  
Temperature Curve ◽  
Harmonic Potential ◽  
Einstein Condensation ◽  
Condensate Fraction ◽  
Eigenvalue Spectrum ◽  
Heat Temperature ◽  
Bose Einstein Condensation ◽  
Bose Einstein

The behavior of a finite number of bosons trapped in a bounded harmonic potential is investigated. The eigenvalue spectrum is worked out numerically for three different sizes of the trap. The condensate fraction is determined and is found to increase suddenly below a certain temperature which is a characteristic signature of BEC. The specific heat-temperature curve also shows a peak, with the maximum shifting to lower values and occurring at higher temperatures, as the size of the assembly is reduced.

Thermodynamic Properties of a q-Boson Gas Trapped in an n-Dimensional Harmonic Potential

2003 ◽  
Vol 10 (02) ◽  
pp. 135-145 ◽  
Author(s):  
Guozhen Su ◽  
Lixuan Chen ◽  
Jincan Chen
Keyword(s):  
Heat Capacity ◽  
Distribution Function ◽  
Critical Temperature ◽  
Thermodynamic Properties ◽  
Harmonic Potential ◽  
Einstein Condensation ◽  
Dimensional System ◽  
One Dimensional ◽  
Bose Einstein Condensation ◽  
Bose Einstein

The thermodynamic properties of an ideal q-boson gas trapped in an n-dimensional harmonic potential are studied, based on the distribution function of q-bosons. The critical temperature Tc,q of Bose-Einstein condensation (BEC) and the heat capacity C of the system are derived analytically. It is shown that for the q-boson gas trapped in a harmonic potential, BEC may occur in any dimension when q ≠ 1, the critical temperature is always higher than that of an ordinary Bose gas (q = 1), and the heat capacity is continuous at Tc,q for a one-dimensional system but discontinuous at Tc,q for a two- or multi-dimensional system.

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