6 citations · 43 across the 15 of their papers we have counts for
Showing 2007 · math-phShow all
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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…