11 citations · 19 across the 3 of their papers we have counts for
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hep-th2025
Geometric and General Relativistic Techniques for Non-relativistic Quantum Systems
Aonghus Hunter-McCabe, Brian P. Dolan, Peter Coles
This thesis explores the application of differential geometric and general relativistic techniques to deepen our understanding of quantum mechanical systems. We focus on three syst…
hep-th2020★ 8 cited
Ground state wave functions for the quantum Hall effect on a sphere and the Atiyah-Singer index theorem
Brian P. Dolan, Aonghus Hunter-McCabe
The quantum Hall effect is studied in a spherical geometry using the Dirac operator for non-interacting fermions in a background magnetic field, which is supplied by a Wu-Yang magn…