38 citations · 382 across the 75 of their papers we have counts for
7 papers · 1 filter
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…
Quantum-Mechanical Dualities on the Torus
J. M. Isidro
On classical phase spaces admitting just one complex-differentiable structure, there is no indeterminacy in the choice of the creation operators that create quanta out of a given v…
Quantum-Mechanical Dualities from Classical Phase Space
J. M. Isidro
The geometry of the classical phase space C of a finite number of degrees of freedom determines the possible duality symmetries of the corresponding quantum mechanics. Under dualit…
Gauge equivalence classes of flat connections in the Aharonov-Bohm effect
M. A. Aguilar, J. M. Isidro, M. Socolovsky
In this note we present a simplified derivation of the fact that the moduli space of flat connections in the abelian Aharonov-Bohm effect is isomorphic to the circle. The length of…
Duality, Quantum Mechanics and (Almost) Complex Manifolds
J. M. Isidro
The classical mechanics of a finite number of degrees of freedom requires a symplectic structure on phase space C, but it is independent of any complex structure. On the contrary,…
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…