Work

Generalized Heisenberg Dynamics Revisited

Year: 2025

Type: article

Abstract: Taking as a model the fact that Heisenberg’s matrix mechanics was derived from Hamiltonian mechanics using the correspondence principle, we explore a class of dynamical systems involving discrete variables, with Nambu mechanics as the starting point. Specifically, we reconstruct an extended version of matrix mechanics that describes dynamical systems possessing physical quantities expressed through generalized matrices. Furthermore, we reconfirm that a multiple commutator involving generalized matrices can serve as a discrete (quantized) version of the Nambu bracket or the Jacobian.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptaf170

Author: Yoshiharu Kawamura

Institution: Shinshu University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funder: Ministry of Education, Culture, Sports, Science and Technology