6 citations · 22 across the 10 of their papers we have counts for
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math-ph2007★ 1 cited
Wigner functions, Fresnel optics, and symplectic connections on phase space
J. M. Isidro
We prove that Wigner functions contain a symplectic connection. The latter covariantises the symplectic exterior derivative on phase space. We analyse the role played by this conne…
math-ph2007★ 6 cited
Quantum mechanics as a spontaneously broken gauge theory on a U(1) gerbe
J. M. Isidro
Any quantum-mechanical system possesses a U(1) gerbe naturally defined on configuration space. Acting on Feynman's kernel exp(iS/h), this U(1) symmetry allows one to arbitrarily pi…
quant-ph2007★ 3 cited
A selfadjoint variant of the time operator
R. de la Madrid, J. M. Isidro
We study the selfadjoint time operator recently constructed by one of the authors. We will show that this time operator must be interpreted as a ``selfadjoint variant'' of the time…