1 citations · 1 across the 3 of their papers we have counts for
11 papers
Moduli of Quanta
J. M. Isidro
The classical phase of the matrix model of 11-dimensional M-theory is complex, infinite-dimensional Hilbert space. As a complex manifold, the latter admits a continuum of nonequiva…
Duality and Quantum Mechanics
J. M. Isidro
This Festschrift in honour of J. A. de Azcarraga gives an introduction to the concept of duality, i.e., to the relativity of the notion of a quantum, in the context of the quantum…
Projective Quantum Mechanics
J. M. Isidro
We study the quantisation of complex, finite-dimensional, compact, classical phase spaces C, by explicitly constructing Hilbert-space vector bundles over C. We find that these vect…
Relativity of
J. M. Isidro
Looking for a quantum-mechanical implementation of duality, we formulate a relation between coherent states and complex-differentiable structures on classical phase space ${\cal C}…
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,…