Thermodynamics of quantum gases for the entire range of temperature

Abstract

We have analytically explored thermodynamics of free Bose and Fermi gases for the entire range of temperature, and have extended the same for harmonically trapped cases. We have obtained approximate chemical potentials of the quantum gases in closed forms of temperature so that the thermodynamic properties of the quantum gases become plausible specially in the intermediate regime between the classical and quantum limits.

arXiv comment5 pages, 3 figures. Teaching Article

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Theory of Bose-Einstein condensation in trapped gases
• Theory of ultracold Fermi gases
• Trapped Fermi gases
• Excess energy of an ultracold Fermi gas in a trapped geometry

Cited by in corpus (8)

• Nonequilibrium relaxation transport of ultracold atoms
• A complete theory for the magnetism of an ideal gas of electrons
• Particle scattering by harmonically trapped Bose and Fermi gases
• Energy fluctuation and discontinuity of specific heat
• Finite-size effects on the cluster expansions for quantum gases in restricted geometries
• Fundamental Limits of Feedback Cooling Ultracold Atomic Gases
• Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field
• Scaling theory for the collapse of a trapped Bose gas in a synthetic magnetic field: a critical study at the condensation point