Equivalence Principle for Quantum Mechanics in the Heisenberg Picture

Autor:	Kong, Otto C. W.
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory Quantum Physics
Zdroj:	Class. Quantum Grav. 41 (1924) 085013
Druh dokumentu:	Working Paper
Popis:	We present an exact quantum observable analog of the weak equivalence principle for a `relativistic' quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant classical Hamiltonian evolution picture, with the proper identification of the canonical momentum variables as $p_\mu$, rather than $p^\mu$. We discuss the meaning of the equations in relation to projective measurements as well as equations with solution curves as ones in the noncommutative geometric picture of spacetime, and a plausible approach to quantum gravity as a theory about quantum observables as physical quantities including the notion of quantum coordinate transformation. Comment: 19 pages in Revtex, no figure; proof-read version published
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.03095 Zobrazit plný text záznamu View this record from Arxiv