scholarly journals Bose gases, Bose–Einstein condensation, and the Bogoliubov approximation

2014 ◽  
Vol 55 (7) ◽  
pp. 075209 ◽  
Author(s):  
Robert Seiringer
Keyword(s):  
Einstein Condensation ◽  
Bose Gases ◽  
Bose Einstein Condensation ◽  
Bogoliubov Approximation ◽  
Bose Einstein

VALIDITY OF THE BOGOLIUBOV APPROXIMATION FOR THE BOSE-EINSTEIN CONDENSATION IN A TRAP

2012 ◽  
Vol 17 ◽  
pp. 140-148 ◽  
Author(s):  
HIROSHI EZAWA ◽  
KEIJI WATANABE ◽  
KOICHI NAKAMURA
Keyword(s):  
Single Particle ◽  
The State ◽  
Trapping Potential ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Single Particle Level ◽  
Bogoliubov Approximation ◽  
Particle Level ◽  
Particle Potential ◽  
Bose Einstein

In treating system of bosons localized in a trapping potential, having a macroscopic number N0 of them condensing at the lowest single-particle level v0, Bogoliubov approximation is to replace the creation/annihilation operators [Formula: see text] of the state v0 by [Formula: see text]. We show that this approximation is justified if the inter-particle potential is repulsive in the sense specified. In fact, we show, by using [Formula: see text], that [Formula: see text] is effectively of the order [Formula: see text] under the condition stated.

Bose–Einstein condensation in binary mixture of Bose gases

2009 ◽  
Vol 324 (10) ◽  
pp. 2074-2094 ◽  
Author(s):  
Tran Huu Phat ◽  
Le Viet Hoa ◽  
Nguyen Tuan Anh ◽  
Nguyen Van Long
Keyword(s):  
Binary Mixture ◽  
Einstein Condensation ◽  
Bose Gases ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals On Quantum Superstatistics and the Critical Behavior of Nonextensive Ideal Bose Gases

Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 773 ◽  
Author(s):  
Octavio Obregón ◽  
José López ◽  
Marco Ortega-Cruz
Keyword(s):  
Bose Gas ◽  
Einstein Condensation ◽  
Boltzmann Factor ◽  
Bose Gases ◽  
Equilibrium Conditions ◽  
Bose Einstein Condensation ◽  
Usual Quantum ◽  
Bose Einstein ◽  
Generalized Probability ◽  
Ideal Bose Gas

We explore some important consequences of the quantum ideal Bose gas, the properties of which are described by a non-extensive entropy. We consider in particular two entropies that depend only on the probability. These entropies are defined in the framework of superstatistics, and in this context, such entropies arise when a system is exposed to non-equilibrium conditions, whose general effects can be described by a generalized Boltzmann factor and correspondingly by a generalized probability distribution defining a different statistics. We generalize the usual statistics to their quantum counterparts, and we will focus on the properties of the corresponding generalized quantum ideal Bose gas. The most important consequence of the generalized Bose gas is that the critical temperature predicted for the condensation changes in comparison with the usual quantum Bose gas. Conceptual differences arise when comparing our results with the ones previously reported regarding the q-generalized Bose–Einstein condensation. As the entropies analyzed here only depend on the probability, our results cannot be adjusted by any parameter. Even though these results are close to those of non-extensive statistical mechanics for q ∼ 1 , they differ and cannot be matched for any q.

Bose–Einstein Condensation of Ideal Bose Gases

2001 ◽  
Vol 70 (5) ◽  
pp. 1256-1259
Author(s):  
Jun'ichi Ieda ◽  
Takeya Tsurumi ◽  
Miki Wadati
Keyword(s):  
Einstein Condensation ◽  
Bose Gases ◽  
Bose Einstein Condensation ◽  
Bose Einstein
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