High Resolution Quantum Kinetic Beam Schemes and Its Applications to Ideal Quantum Gas Dynamical Flows

2009 ◽  
pp. 197-202
Author(s):  
Y. H. Shi ◽  
J. Y. Yang
Keyword(s):  
High Resolution ◽  
Quantum Gas ◽  
Ideal Quantum

High-resolution scanning electron microscopy of an ultracold quantum gas

2008 ◽  
Vol 4 (12) ◽  
pp. 949-953 ◽  
Author(s):  
Tatjana Gericke ◽  
Peter Würtz ◽  
Daniel Reitz ◽  
Tim Langen ◽  
Herwig Ott
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
High Resolution ◽  
Quantum Gas ◽  
Scanning Electron

scholarly journals Adiabatic Swimming in an Ideal Quantum Gas

2006 ◽  
Vol 96 (13) ◽  
Author(s):  
J. E. Avron ◽  
B. Gutkin ◽  
D. H. Oaknin
Keyword(s):  
Quantum Gas ◽  
Ideal Quantum

scholarly journals Thermodynamics of ideal quantum gas with fractional statistics inDdimensions

2007 ◽  
Vol 75 (6) ◽  
Author(s):  
Geoffrey G. Potter ◽  
Gerhard Müller ◽  
Michael Karbach
Keyword(s):  
Quantum Gas ◽  
Fractional Statistics ◽  
Ideal Quantum

scholarly journals Heat kernel approach for confined quantum gas

2020 ◽  
Vol 35 (13) ◽  
pp. 2050100
Author(s):  
Ping Zhang ◽  
Tong Liu
Keyword(s):  
Heat Kernel ◽  
Equations Of State ◽  
Dimensional Space ◽  
Quantum Gases ◽  
Thermodynamic Quantities ◽  
Quantum Gas ◽  
Confined Space ◽  
Kernel Approach ◽  
Ideal Quantum ◽  
The One

In this paper, based on the heat kernel technique, we calculate equations of state and thermodynamic quantities for ideal quantum gases in confined space with external potential. Concretely, we provide expressions for equations of state and thermodynamic quantities by means of heat kernel coefficients for ideal quantum gases. Especially, using an analytic continuation treatment, we discuss the application of the heat kernel technique to Fermi gases in which the expansion diverges when the fugacity [Formula: see text]. In order to calculate the modification of heat kernel coefficients caused by external potentials, we suggest an approach for calculating the expansion of the global heat kernel of the operator [Formula: see text] based on an approximate method of the calculation of spectrum in quantum mechanics. We discuss the properties of quantum gases under the condition of weak and complete degeneration, respectively. Moreover, we give an expansion of the one-loop effective action in D-dimensional space.

scholarly journals Numerical solutions of ideal quantum gas dynamical flows governed by semiclassical ellipsoidal-statistical distribution

2014 ◽  
Vol 470 (2161) ◽  
pp. 20130413 ◽  
Author(s):  
Jaw-Yen Yang ◽  
Chih-Yuan Yan ◽  
Manuel Diaz ◽  
Juan-Chen Huang ◽  
Zhihui Li ◽  
...  
Keyword(s):  
Equilibrium Distribution ◽  
Numerical Solutions ◽  
Maximum Entropy Principle ◽  
Physical Space ◽  
Quantum Gas ◽  
Expansion Waves ◽  
Flow Features ◽  
Classical Gas ◽  
Entropy Principle ◽  
Ideal Quantum

The ideal quantum gas dynamics as manifested by the semiclassical ellipsoidal-statistical (ES) equilibrium distribution derived in Wu et al. (Wu et al . 2012 Proc. R. Soc. A 468 , 1799–1823 ( doi:10.1098/rspa.2011.0673 )) is numerically studied for particles of three statistics. This anisotropic ES equilibrium distribution was derived using the maximum entropy principle and conserves the mass, momentum and energy, but differs from the standard Fermi–Dirac or Bose–Einstein distribution. The present numerical method combines the discrete velocity (or momentum) ordinate method in momentum space and the high-resolution shock-capturing method in physical space. A decoding procedure to obtain the necessary parameters for determining the ES distribution is also devised. Computations of two-dimensional Riemann problems are presented, and various contours of the quantities unique to this ES model are illustrated. The main flow features, such as shock waves, expansion waves and slip lines and their complex nonlinear interactions, are depicted and found to be consistent with existing calculations for a classical gas.

An ideal quantum gas in a finite-sized container

1998 ◽  
Vol 66 (12) ◽  
pp. 1080-1085 ◽  
Author(s):  
R. K. Pathria
Keyword(s):  
Quantum Gas ◽  
Ideal Quantum
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