Astrophysical Quantum Matter: Spinless charged particles on a magnetic dipole sphere. (arXiv:1811.03109v1 [hep-th])

<a href="http://arxiv.org/find/hep-th/1/au:+Murugan_J/0/1/0/all/0/1">Jeff Murugan</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Shock_J/0/1/0/all/0/1">Jonathan P. Shock</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Slayen_R/0/1/0/all/0/1">Ruach Pillay Slayen</a>

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.

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.

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