A sharp version of Ehrenfest's theorem for general self-adjoint operators

TL;DR

This paper establishes a precise version of Ehrenfest's theorem in quantum mechanics, providing rigorous conditions under which the theorem holds for general self-adjoint operators.

Contribution

It introduces sharp assumptions on operators to rigorously prove Ehrenfest's theorem for a broad class of self-adjoint operators.

Findings

Ehrenfest's theorem holds under new rigorous conditions

Provides a sharper version of the theorem for general operators

Enhances mathematical understanding of quantum dynamics

Abstract

We prove the Ehrenfest theorem of quantum mechanics under sharp assumptions on the operators involved.