Alternative Derivation of the Mean-Field Equations for Composite Fermions  

作　　者：Edmundo C. Manavella Carlos E. Repetto 

机构地区：[1]Instituto de Física Rosario (CONICET-UNR), Rosario, Argentina [2]Facultad de Ciencias Exactas, Ingeniería y Agrimensura (UNR), Rosario, Argentina

出　　处：《Journal of Modern Physics》2015年第12期1737-1742,共6页现代物理（英文）

摘　　要：The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2 + 1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.The Hamiltonian describing a composite fermion system is usually presented in a phenomenological way. By using a classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of electrons, we show how to obtain the mean-field Hamiltonian describing composite fermions in 2 + 1 dimensions. In order to achieve this goal, the Dirac Hamiltonian formalism for constrained systems is used. Furthermore, we compare these results with the ones corresponding to the inclusion of a topological mass term for the electromagnetic field in the Lagrangian.

关 键 词：Quantum FIELD THEORY FIELD Theories in Dimensions Other than Four CHERN-SIMONS GAUGE THEORY LAGRANGIAN and HAMILTONIAN Formalisms 

分 类 号：O1[理学—数学]