802 citations · 2.6k across the 100 of their papers we have counts for
4 papers · 1 filter
Quantum geodesics in quantum mechanics
Edwin Beggs, Shahn Majid
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differential calculus depending on the Hamiltonian , and a flat quant…
Quantum geometry of Boolean algebras and de Morgan duality
Shahn Majid
We take a fresh look at the geometrization of logic using the recently developed tools of `quantum Riemannian geometry' applied in the digital case over the field $\Bbb F_2=\{0,1\}…
Quantum differentials on cross product Hopf algebras
Ryan Aziz, Shahn Majid
We construct canonical strongly bicovariant differential graded algebra structures on all four flavours of cross product Hopf algebras, namely double cross products $A\hookrightarr…
Poisson Principal Bundles
Shahn Majid, Liam Williams
We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space is a Poisson manifold with Poisson-compatible contravariant…