scholarly journals Bose–Einstein condensation for an exponential density of states function and Lerch zeta function

2020 ◽  
Vol 541 ◽  
pp. 123264
Author(s):  
Davood Momeni
Keyword(s):  
Zeta Function ◽  
Density Of States ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Exponential Density ◽  
Lerch Zeta Function ◽  
Bose Einstein

Distribution of quantum states in enclosures of finite size: I

1991 ◽  
Vol 69 (7) ◽  
pp. 813-821
Author(s):  
J. Hugo Souto ◽  
A. N. Chaba
Keyword(s):  
Density Of States ◽  
Three Dimensional ◽  
Finite Size ◽  
Summation Formula ◽  
Einstein Condensation ◽  
Euler Formula ◽  
Bose Einstein Condensation ◽  
Rectangular Slab ◽  
Poisson’S Summation Formula ◽  
Bose Einstein

We show that the expression for the density of states of a particle in a three-dimensional rectangular box of finite size can be obtained by using directly the Poisson's summation formula instead of using the Walfisz formula or the generalized Euler formula both of which can be derived from the former. We also derive the expression for the density of states in the case of an enclosure in the form of an infinite rectangular slab and apply it to the problem of the Bose–Einstein condensation of a Bose gas of noninteracting particles confined to a thin-film geometry.

Systems with Condensates and Pairing

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Critical Parameters ◽  
Einstein Condensation ◽  
Cooper Pairs ◽  
Pair Breaking ◽  
Systematic Theory ◽  
Bose Einstein Condensation ◽  
T Matrix ◽  
The Stability ◽  
Bose Einstein

The Bose–Einstein condensation and appearance of superfluidity and superconductivity are introduced from basic phenomena. A systematic theory based on the asymmetric expansion of chapter 11 is shown to correct the T-matrix from unphysical multiple-scattering events. The resulting generalised Soven scheme provides the Beliaev equations for Boson’s and the Nambu–Gorkov equations for fermions without the usage of anomalous and non-conserving propagators. This systematic theory allows calculating the fluctuations above and below the critical parameters. Gap equations and Bogoliubov–DeGennes equations are derived from this theory. Interacting Bose systems with finite temperatures are discussed with successively better approximations ranging from Bogoliubov and Popov up to corrected T-matrices. For superconductivity, the asymmetric theory leading to the corrected T-matrix allows for establishing the stability of the condensate and decides correctly about the pair-breaking mechanisms in contrast to conventional approaches. The relation between the correlated density from nonlocal kinetic theory and the density of Cooper pairs is shown.

scholarly journals Bose Einstein condensation in a magnetic double-well potential

2003 ◽  
Vol 5 (2) ◽  
pp. S119-S123 ◽  
Author(s):  
T G Tiecke ◽  
M Kemmann ◽  
Ch Buggle ◽  
I Shvarchuck ◽  
W von Klitzing ◽  
...  
Keyword(s):  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Double Well Potential

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
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