10 citations · 12 across the 3 of their papers we have counts for
3 papers
math.DG2013
An Intrinsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal
Paul Bracken
The structure equations for a surface are introduced and two required results based on the Codazzi equations are obtained from them. Important theorems pertaining to isometric surf…
math-ph2006★ 2 cited
Geometric Properties of Quantum Phases
P Bracken
The Aharonov-Anandan phase is introduced from a physical point of view. Without reference to any dynamical equation, this phase is formulated by defining an appropriate connection…
math-ph2006★ 10 cited
Hamiltonians for the Quantum Hall Effect on Spaces with Non-Constant Metrics
P Bracken
The problem of studying the quantum Hall effect on manifolds with nonconstant metric is addressed. The Hamiltonian on a space with hyperbolic metric is determined, and the spectrum…