Non-relativistic fermions in noncommutative spaceA. Jahan
Department of Physics, University of Orumieh - Orumieh, Iran
received 5 December 2006; accepted in final form 18 April 2007; published June 2007
published online 16 May 2007
We investigate the effect of the noncommutativity of space on a many-particle system composed of locally interacting non-relativistic fermions at zero temperature. We calculate the first-order energy shift of the system up to the second order in noncommutativity parameter to demonstrate that the noncommutativity of space lifts the degeneracy of the model, by interpreting the noncommutativity parameter as a new reference temperature.
03.65.Ca - Quantum mechanics: Formalism .
71.10.Ca - Electron gas, Fermi gas .
11.10.Nx - Noncommutative field theory .
© Europhysics Letters Association 2007