PIRSA:19020039

Quantum Mechanics without Wave Functions: a Signed Particle Formulation

Sellier, J.M. (2019). Quantum Mechanics without Wave Functions: a Signed Particle Formulation. Perimeter Institute. https://pirsa.org/19020039

Sellier, Jean Michel. Quantum Mechanics without Wave Functions: a Signed Particle Formulation. Perimeter Institute, Feb. 05, 2019, https://pirsa.org/19020039 

          @misc{ pirsa_PIRSA:19020039,
            doi = {10.48660/19020039},
            url = {https://pirsa.org/19020039},
            author = {Sellier, Jean Michel},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Quantum Mechanics without Wave Functions: a Signed Particle Formulation},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {feb},
            note = {PIRSA:19020039 see, \url{https://pirsa.org}}
          }

Jean Michel Sellier

DOI 10.48660/19020039
Collection
Talk Type Scientific Series
Subject

Abstract

Recently, a new formulation of quantum mechanics was suggested which is based on the evolution of classical particles, provided with a sign, rather than standard wave functions. This allows several advantages over other approaches: from a theoretical perspective, it offers a more intuitive framework while, from a numerical point of view, it allows the simulation of complex systems with relatively small computational resources. In this talk, I will first go through the tenets of this new approach. In particular, I will focus on the derivation of such theory and the peculiar view it provides in the passage from the quantum to the classical regime. Then, I will discuss the various applications which have been performed so far, especially for systems of Fermions. Finally, a list of possible future works will be presented and discussed.