63 citations · 106 across the 16 of their papers we have counts for
16 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…
Quantum electron transport in toroidal carbon nanotubes with metallic leads
Mark A. Jack, Mario R. Encinosa
A recursive Green's function method is employed to calculate the density-of-states, transmission function, and current through a 150 layer (3,3) armchair nanotorus (1800 atoms) wit…
Excitation of surface dipole and solenoidal modes on toroidal structures
M. Encinosa, M. Jack
The time dependent Schrodinger equation inclusive of curvature effects is developed for a spinless electron constrained to motion on a toroidal surface and subjected to circularly…