Comment on “Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential” by Martin Ligare [Am. J. Phys. 66 (3), 185–190 (1998)]

2000 ◽  
Vol 68 (3) ◽  
pp. 290-292 ◽  
Author(s):  
R. K. Pathria
Keyword(s):  
Numerical Analysis ◽  
Harmonic Oscillator ◽  
Three Dimensional ◽  
Einstein Condensation ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Effect of pion versus kaon interferometry on the chaotic parameter

2015 ◽  
Vol 30 (18) ◽  
pp. 1550086
Author(s):  
Jie Liu ◽  
Li-Dong Zhao ◽  
Xiao-Zhao Xu ◽  
Hui-Zeng Yin
Keyword(s):  
Harmonic Oscillator ◽  
Einstein Condensation ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Bose Einstein Condensation ◽  
Kaon Interferometry ◽  
Chaotic Parameter ◽  
Bose Einstein

In this paper, the advantages of pion versus kaon interferometry as a measure to probe the degree of source coherence are studied by a expanding boson gas model with a harmonic oscillator potential. We investigate the conditions about occurrence of Bose–Einstein condensation and analyze its impacts on the chaotic parameter λ. The results indicate that this finite condensation for pion system decreases the value of λ, but influence slightly for kaon system.

BOSE–EINSTEIN CONDENSATION OF A q-DEFORMED BOSE GAS IN A RANDOM BOX

2010 ◽  
Vol 24 (02) ◽  
pp. 135-141 ◽  
Author(s):  
YING WANG ◽  
XIANG-MU KONG
Keyword(s):  
Transition Temperature ◽  
Bose Gas ◽  
Einstein Condensation ◽  
Potential Well ◽  
Random Boundary ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Bose Einstein Condensation ◽  
Einstein Distribution ◽  
Bose Einstein

The q-deformed Bose–Einstein distribution is used to study the Bose–Einstein condensation (BEC) of a q-deformed Bose gas in random box. It is shown that the BEC transition temperature is lowered due to random boundary conditions. The effects of q-deformation on the properties of the system are also discussed. We find some properties of a q-deformed Bose gas, which are different from those of an ordinary Bose gas. Similar results are also shown for q-bosons confined in a harmonic oscillator potential well.

λ-Transition to the Bose-Einstein Condensate

1995 ◽  
Vol 50 (10) ◽  
pp. 921-930 ◽  
Author(s):  
Siegfried Grossmann ◽  
Martin Holthaus
Keyword(s):  
Heat Capacity ◽  
Three Dimensional ◽  
Einstein Condensate ◽  
Einstein Condensation ◽  
Condensation Temperature ◽  
Harmonic Oscillator Potential ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Analytical Expressions ◽  
Grand Canonical

Abstract We study Bose-Einstein condensation of comparatively small numbers of atoms trapped by a three-dimensional harmonic oscillator potential. Under the assumption that grand canonical statis­tics applies, we derive analytical expressions for the condensation temperature, the ground state occupation, and the specific heat capacity. For a gas of TV atoms the condensation temperature is proportional to N1/3, apart from a downward shift of order N-1/3. A signature of the condensation is a pronounced peak of the heat capacity. For not too small N the heat capacity is nearly discon­tinuous at the onset of condensation; the magnitude of the jump is about 6.6 N k. Our continuum approximations are derived with the help of the proper density of states which allows us to calculate finite-AT-corrections, and checked against numerical computations.

Thermodynamic Properties of Bosons in Symmetric Double-well Potentials

1999 ◽  
Vol 54 (3-4) ◽  
pp. 204-212
Author(s):  
J. Choy ◽  
K. L. Liu ◽  
C. F. Lo ◽  
F. So
Keyword(s):  
Thermodynamic Properties ◽  
Excited States ◽  
Low Temperatures ◽  
Three Dimensional ◽  
Energy Difference ◽  
Einstein Condensation ◽  
Thermal Variation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Double Well Potential

We study the thermodynamic properties and the Bose-Einstein condensation (BEC) for a finite num-ber N of identical non-interacting bosons in the field of a deep symmetric double-well potential (SDWP). The temperature dependence of the heat capacity C(T) at low temperatures is analyzed, and we derive several generic results which are valid when the energy difference between the first two excited states is sufficiently large. We also investigate numerically the properties of non-interacting bosons in three-dimensional superpositions of deep quartic SDWP's. At low temperatures, we find that C(T) displays microstructures which are sensitive to the value of N and the thermal variation of the condensate frac-tion shows a characteristic plateau. The origin of these features is discussed, and some general conclu-sions are drawn.

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