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The noncommutative degenerate electron gas
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bemfica, F. S. Girotti, H. O. |
| Copyright Year | 2005 |
| Abstract | 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/quant-ph/0506191v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Arabic numeral 0 Degeneracy (graph theory) Electron Numerous Particle system Perturbation theory Population Parameter Prototype Quantum dynamics Quantum mechanics |
| Content Type | Text |
| Resource Type | Article |
