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Contact Geometry and Quantum Mechanics

Giovedì 6 settembre 2018, ore 15.00, aula L1.3, edificio Fisica, Dipartimento FIM, Modena

Relatore: Andrew Waldron (University of California, Davis)

Abstract: We present a generally covariant approach to quantum mechanics. Generalized positions, momenta and TIME are treated on the same footing as coordinates on a fundamental "phase-spacetime" manifold. Dynamics are encoded by giving phase-spacetime a contact structure. BRST quantization yields a physical Hilbert space described by a Hilbert bundle over phase-spacetime. Inner products of solutions then both reproduces and generalizes the Wigner functions of standard quantum mechanics. In this picture "quantization = finding a flat connection" and "quantum evolution = parallel transport".

Ospiti: Olindo Corradini

[Ultimo aggiornamento: 31/08/2018 11:51:09]