2024 CAP Congress / Congrès de l'ACP 2024

(G) (POS-78) Quantum Formulation of Classical Mechanics

May 28, 2024, 6:16 PM

2m

PAB Hallways (Western University)

Poster not-in-competition (Graduate Student) / Affiche non-compétitive (Étudiant(e) du 2e ou 3e cycle) Theoretical Physics / Physique théorique (DTP-DPT) DTP Poster Session & Student Poster Competition (11) | Session d'affiches DPT et concours d'affiches étudiantes (11)

Speaker

Mr Mustafa Amin (University of Lethbridge)

Description

We present a general map from Poisson brackets to commutators, motivated by the Koopman-von Neumann formulation of classical mechanics. This map translates the entire apparatus of (Poisson bracket) classical mechanics to a quantum-like language, either in Hilbert space (operators and wavefunctions) or in phase space (star-products and Wigner functions). The setup can be interpreted as a quantum mechanical system with double the degrees of freedom where the extra variables are restricted to appear only linearly in the theory.