Astrophysical Quantum Matter: Spinless charged particles on a magnetic dipole sphere
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.03109
- arXiv:
- arXiv:1811.03109
- Bibcode:
- 2018arXiv181103109M
- Keywords:
-
- High Energy Physics - Theory;
- Astrophysics - High Energy Astrophysical Phenomena;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 4+1 pages, 3 figures