American Journal of Physics
Ehrenfest theorem and the classical trajectory of quantum motion
J. Nag, V Jayaram Menon, S. N. Mukherjee
Abstract
Ehrenfest theorem asserts that the quantum mechanical motion of a particle when considered in the expectation value sense should agree with classical mechanics in the correspondence limit. An explicit verification of this result is presented in the one-dimensional case for motion in an infinite potential well (large quantum number limit) and a brief mention is made of the case of a smooth potential (ℏ→0 limit).