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11 papers
Peripherally specified homomorphs of link groups
V. Kurlin, D. Lines
Johnson and Livingston have characterized peripheral structures in homomorphs of knot groups. We extend their approach to the case of links. The main result is an algebraic charact…
Quantum Down Conversion and Multipartite Entanglement via a Mesoscopic SQUID Ring
P. B. Stiffell, M. J. Everitt, T. D. Clark +2
In this paper we study, by analogy with quantum optics, the superconducting quantum interference device (SQUID) ring mediated quantum mechanical interaction of an input electromagn…
Removing redundancy in relativistic quantum mechanics
Peter Rowlands
It is proposed that the Dirac equation, as normally interpreted, incorporates intrinsic redundancies whose removal necessarily leads to an enormous gain in calculating power and ph…
Energy Down Conversion between Classical Electromagnetic Fields via a Quantum Mechanical SQUID Ring
M. J. Everitt, T. D. Clark, P. B. Stiffell +2
We consider the interaction of a quantum mechanical SQUID ring with a classical resonator (a parallel tank circuit). In our model we assume that the evolution of the ring main…
Pre-Symmetry Sets of 3D shapes
Andre Diatta, Peter J. Giblin
The investigation of 3D euclidean symmetry sets (SS) and medial axis is an important area, due in particular to their various important applications. The pre-symmetry set of a surf…
Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
Lisa C. Jeffrey, Young-Hoon Kiem, Frances C. Kirwan +1
This paper studies intersection theory on the compactified moduli space M(n,d) of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface of genus g > 1 whe…