Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-23
Eur. Phys. J. D 23, 117-124 (2003)
Physics
Condensed Matter
Statistical Mechanics
14 pages including 3 figures and 3 tables
Scientific paper
10.1140/epjd/e2003-00005-1
We solve the problem of a Bose or Fermi gas in $d$-dimensions trapped by $% \delta \leq d$ mutually perpendicular harmonic oscillator potentials. From the grand potential we derive their thermodynamic functions (internal energy, specific heat, etc.) as well as a generalized density of states. The Bose gas exhibits Bose-Einstein condensation at a nonzero critical temperature $T_{c}$ if and only if $d+\delta >2$, and a jump in the specific heat at $T_{c}$ if and only if $d+\delta >4$. Specific heats for both gas types precisely coincide as functions of temperature when $d+\delta =2$. The trapped system behaves like an ideal free quantum gas in $d+\delta $ dimensions. For $\delta =0$ we recover all known thermodynamic properties of ideal quantum gases in $d$ dimensions, while in 3D for $\delta =$ 1, 2 and 3 one simulates behavior reminiscent of quantum {\it wells, wires}and{\it dots}, respectively.
de Llano M.
del Río J. L.
Fortes M.
Grether M.
Sevilla Francisco J.
No associations
LandOfFree
Harmonically Trapped Quantum Gases does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Harmonically Trapped Quantum Gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonically Trapped Quantum Gases will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-454225