38 citations · 382 across the 75 of their papers we have counts for
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Star products on generalised complex manifolds
J. M. Isidro
We regard classical phase space as a generalised complex manifold and analyse the B-transformation properties of the *-product of functions. The C*-algebra of smooth functions tran…
Dirac brackets from magnetic backgrounds
J. M. Isidro
In symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in ge…
Abelian gerbes as a gauge theory of quantum mechanics on phase space
J. M. Isidro, M. A. de Gosson
We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A,B,H: a potential 1-form A, a Neveu-Sc…
A gauge theory of quantum mechanics
J. M. Isidro, M. A. de Gosson
An Abelian gerbe is constructed over classical phase space. The 2-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Po…