Abstract
The magnetic susceptibility of a degenerate relativisitc Fermi gas is obtained for charged fermions with anomalous magnetic moments. The expression for the magnetic susceptibility of the non-relativistic degenerate electron gas is well known in the theory of metals (see for example Ziman (1972)). It consists of two parts corresponding to two different physical effects. The first of them is connected with the behaviour of spin moments in the external magnetic field (Pauli paramagnetism (Pauli 1927)). The second is the result of the circular motion of charges in the magnetic field (Landau diamagnetism (Landau 1930)). For non-relativistic fermions the paramagnetic and diamagnetic susceptibilities can be independently calculated. This is not true for the relativistic case. Magnetic properties of the relativistic Fermi gas are of interest because degenerate relativistic electrons and nucleons form white dwarfs and neutron stars (see for example Weinberg (1972)). As is known, the nucleons have anomalous magnetic moments which also contribute to the magnetic susceptibility. In this connection we consider the Lagrangian (Gell-Mann 1956, see also Bjorken and Drell 1965) including the dipole interaction between the fermion 4 and the external electromagnetic field A,,
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
