On the Ehrenfest theorem of quantum mechanics

Abstract

We give a mathematically rigorous derivation of Ehrenfest's equations for the evolution of position and momentum expectation values, under general and natural assumptions which include atomic and molecular Hamiltonians with Coulomb interactions.

To appear in J. Math. Phys

References in corpus (1)

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

Cited by in corpus (5)

• A methodology for formulating dynamical equations in analytical mechanics based on the principle of energy conservation
• A sharp version of Ehrenfest's theorem for general self-adjoint operators
• Formulations of the Elastodynamic Equations in Anisotropic and Multiphasic Porous Media from the Principle of Energy Conservation
• Basic properties of a mean field laser equation
• Application of Modified Hypervirial and Ehrenfest Theorems and Some of its Consequences