38 citations · 382 across the 75 of their papers we have counts for
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Hilbert C*-modules are JB*-triples
Jose M. Isidro
We show that every Hilbert C*-module E is a JB*-triple in a canonical way and establish an explicit expression for the holomorphic automorphisms of the unit ball of E.
Darboux's Theorem and Quantisation
J. M. Isidro
It has been established that endowing classical phase space with a Riemannian metric is sufficient for describing quantum mechanics. In this letter we argue that, while sufficient,…
Twisted K-theory in from D-branes
J. M. Isidro
We study the wrapping of N type IIB Dp-branes on a compact Riemann surface in genus by means of the Sen-Witten construction, as a superposition of N' type IIB Dp'-brane/a…
Manifolds of algebraic elements in the algebra L(H) of bounded linear operators
Jose M. Isidro
Given a complex Hilbert space H, we study the differential geometry of the manifold A of normal algebraic elements in Z=L(H), the algebra of bounded linear operators on H. We repre…
The Geometry of Quantum Mechanics
J. M. Isidro
A recent notion in theoretical physics is that not all quantum theories arise from quantising a classical system. Also, a given quantum model may possess more than just one classic…
The manifold of finite rank projections in the algebra L(H) of bounded linear operators
J. M. Isidro, M. Mackey
Given a complex Hilbert space H, we study the differential geometry of the manifold M of all projections in V:=L(H). Using the algebraic structure of V, a torsionfree affine connec…
On the Equivalence Principle of Quantum Mechanics
J. M. Isidro
A recent concept in theoretical physics, motivated in string duality and M-theory, is the notion that not all quantum theories arise from quantising a classical system. Also, a giv…