52 citations · 174 across the 43 of their papers we have counts for
50 papers
Klein-Gordon flow on FLRW spacetimes
Edwin Beggs, Shahn Majid
We study a new approach to generally covariant quantum mechanics applied in the case of an FLRW cosmological background. For positive spatial curvature we find a discrete series of…
*-Hopf algebroids
Edwin Beggs, Xiao Han, Shahn Majid
We introduce a theory of -structures for bialgebroids and Hopf algebroids over a -algebra, defined in such a way that the relevant category of (co)modules is a bar category.…
Generally covariant quantum mechanics
Edwin Beggs, Shahn Majid
We obtain generally covariant operator-valued geodesic equations on a pseudo-Riemannian manifold as part of the construction of quantum geodesics on the algebra of diffe…
Complex structure on quantum-braided planes
Edwin Beggs, Shahn Majid
We construct a quantum Dolbeault double complex on the quantum plane . This solves the long-standing problem that the standard differential calcul…
On human-centred security: A new systems model based on modes and mode transitions
Edwin J Beggs, John V Tucker, Victoria Wang
We propose an abstract conceptual framework for analysing complex security systems using a new notion of modes and mode transitions. A mode is an independent component of a system…
Quantum geodesic flows on graphs
Edwin Beggs, Shahn Majid
We revisit the construction of quantum Riemannian geometries on graphs starting from a hermitian metric compatible connection, which always exists. We use this method to find quant…