Electron wave functions on in a static magnetic field of arbitrary direction
arXiv:physics/0502060 · doi:10.1016/j.physe.2005.03.009
Abstract
A basis set expansion is performed to find the eigenvalues and wave functions for an electron on a toroidal surface subject to a constant magnetic field in an arbitrary direction. The evolution of several low-lying states as a function of field strength and field orientation is reported, and a procedure to extend the results to include two-body Coulomb matrix elements on is presented.
18 pages, 6 figures
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Cited by in corpus (7)
- Quantum mechanics on curved 2D systems with electric and magnetic fields
- Quantum mechanics of a constrained electrically charged particle in the presence of electric currents
- Coupling curvature to a uniform magnetic field; an analytic and numerical study
- Critical temperature and specific heat for Cooper pairing on a spherical surface
- Elliptical torii in a constant magnetic field
- Generalized Weierstrass Relations and Frobenius reciprocity
- Electron gases in toroidal shells: mode coupling and state functions