Astrophysical Quantum Matter: Spinless charged particles on a magnetic dipole sphere [CL]

http://arxiv.org/abs/1811.03109


We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that furnishes a translationally-invariant, incompressible quantum fluid state of a gas of electrons confined to the sphere. This letter presents the results of a novel variant of the Haldane solution where the monopole field is replaced by that of a dipole. We argue that this system is relevant to the physics on the surface of compact astrophysical objects like neutron stars.

Read this paper on arXiv…

J. Murugan, J. Shock and R. Slayen
Fri, 9 Nov 18
61/64

Comments: 4+1 pages, 3 figures