Ehrenfest theorem, Galilean invariance and nonlinear Schrödinger equations
Abstract
We prove that Galilean invariant Schrödinger equations derived from Lagrangian densities necessarily obey the Ehrenfest theorem for velocityindependent potentials. The conclusion holds as well for Lagrangians describing nonlinear selfinteractions. An example of Doebner and Goldin motivates the result.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2004
 DOI:
 10.1088/03054470/37/8/011
 arXiv:
 arXiv:quantph/0307018
 Bibcode:
 2004JPhA...37.2999K
 Keywords:

 Quantum Physics;
 Condensed Matter
 EPrint:
 Latex format, no figures, submitted to journal of physics A