1 citations · 2 across the 4 of their papers we have counts for
4 papers
Electron gases in toroidal shells: mode coupling and state functions
Mario Encinosa, Johnny Williamson
Eigenvalues and wave functions describing free electron gases in toroidal shells are determined using a basis set expansion natural to the system geometry. Couplings between azimut…
Wave functions for a toroidal quantum dot in the presence of an axially symmetric magnetic field: transition from ring to bulk states as a function of aspect ratio
Mario Encinosa, Johnny Williamson
A basis set expansion is employed to calculate spectra and eigenstates of charge carriers within a toroidal volume characterized by major radius and minor radius immersed i…
Quantum toroidal moments of an elliptic toroidal helix in a constant magnetic field
J. Williamson, M. Encinosa
An effective one-dimensional Schrödinger equation for a spinless particle constrained to motion near a toroidal helix immersed in an arbitrarily oriented constant magnetic field is…
Toroidal moments of Schrödinger eigenstates
M. Encinosa, J. Williamson
The Hamiltonian for a particle constrained to motion near a toroidal helix with loops of arbitrary eccentricity is developed. The resulting three dimensional Schrödinger equation i…