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A Correspondence between Classical and Quantum Mechanics Based upon the de Broglie Principle

The lecture presents a unification of classical and quantum mechanics in terms of signal processing.

In that regard, the quantum uncertainty between position and momentum corresponds to a classical one between time and velocity. The correspondence is an implementation of the de Broglie principle relating momentum and wavelength of a matter. The Schrödinger equation is derived to be a kinetic requirement in order to postulate time of the system. Having inducted statistical superoperators which act onto densities, one gets to the Hamilton equations in canonical coordinates. The time superoperator should provide a change in representation from the reversible to an irreversible dynamics. A repercussion to the measurement problem is briefly indicated, as well as a relativistic interpretation.

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Speaker: Milos Milovanovic (Serbian Academy of Sciences and Arts)

Time:  14:00