Abstract
A basis set expansion is employed to calculate spectra and eigenstates of charge carriers within a toroidal volume characterized by major radius R and minor radius a immersed in an azimuthally symmetric magnetic field. The angular variables appearing in the Schrödinger equation are eliminated by contour methods, yielding effective potentials that reduce computational time by a large factor. An approximation formula for the single particle spectrum is presented that allows efficient construction of the partition function necessary for rapid calculation of thermodynamic quantities. The heat capacity is calculated as a function of torus aspect ratio and temperature, showing the transition from ring-type to bulk-type behavior.
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