11 citations · 11 across the 2 of their papers we have counts for
3 papers
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…
Shaking photons from the vacuum: acceleration radiation from vibrating atoms
Brian P. Dolan, Aonghus Hunter-McCabe, Jason Twamley
Acceleration radiation - or Unruh radiation - the thermal radiation observed by an ever accelerating observer or detector, although having similarities to Hawking radiation, so far…
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…