Physics – Quantum Physics
Scientific paper
2005-06-22
J.Phys. A38 (2005) L539
Physics
Quantum Physics
11 pages, to appear in J. Phys. A: Math. Gen
Scientific paper
10.1088/0305-4470/38/30/L01
The quantum dynamics of nonrelativistic single particle systems involving noncommutative coordinates, usually referred to as noncommutative quantum mechanics, has lately been the object of several investigations. In this note we pursue these studies for the case of multi-particle systems. We use as a prototype the degenerate electron gas whose dynamics is well known in the commutative limit. Our central aim here is to understand qualitatively, rather than quantitatively, the main modifications induced by the presence of noncommutative coordinates. We shall first see that the noncommutativity modifies the exchange correlation energy while preserving the electric neutrality of the model. By employing time-independent perturbation theory together with the Seiberg-Witten map we show, afterwards, that the ionization potential is modified by the noncommutativity. It also turns out that the noncommutative parameter acts as a reference temperature. Hence, the noncommutativity lifts the degeneracy of the zero temperature electron gas.
Bemfica F. S.
Girotti H. O.
No associations
LandOfFree
The noncommutative degenerate electron gas 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 The noncommutative degenerate electron gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The noncommutative degenerate electron gas will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-624525