Ehrenfest theorem in relativistic quantum theory

  title={Ehrenfest theorem in relativistic quantum theory},
  author={Iwo Bialynicki-Birula and Zofia Białynicka-Birula},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
Ehrenfest theorem is extended to the relativistic quantum theory of charged particles, moving under the influence of a classical electromagnetic field. In order to extend the original Ehrenfest result to the relativistic domain we bypassed the problems with the relativistic position operator by deriving directly Newton’s second law. Our approach is characterized by its universality. The detailed form of the wave equation is not needed. All that is required is the existence of the conserved… 



Electromagnetic force and torque in ponderable media.

This analysis demonstrates consistency with the conservation laws by showing that, when a beam of light enters a magnetic dielectric, a fraction of the incident linear momentum pours into the medium at a rate determined by the Abraham momentum density, E x H/c(2), and the group velocity V(g) of the electromagnetic field.

Der Impuls-Energiesatz in der Diracschen Quantentheorie des Elektrons

ZusammenfassungFür den Impuls-Energietensor können verschiedene Ausdrücke gewählt werden, die bei einem freien Elektron identisch werden. Am naturgemäßesten wählt man einen bestimmten,

Bemerkung über die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik

ZusammenfassungAus der Schrödingerschen Gleichung läßt sich durch eine kurze elementare Rechnung ohne Veruachlässigung die Beziehung $$m\frac{{d^2 }}{{dt^2 }}\smallint \smallint \smallint d\tau .\Psi

Sur la théorie ondulatoire des électrons positifs et négatifs

Les principales difficultes analytiques que rencontre la theorie des positons de Dirac sont dues a l'existence des solutions a energie negative. Se basant sur l'exemple de l'equation "de Gordon,

Trouble with the Lorentz law of force: incompatibility with special relativity and momentum conservation.

It is argued that the Lorentz law must be abandoned in favor of a more general expression of the electromagnetic force density, such as the one discovered by Einstein and Laub in 1908, which solves the long-standing problem of "hidden momentum" in classical electrodynamics.

The collected papers of Albert Einstein.

  • D. Siegel
  • Philosophy, Medicine
    Isis; an international review devoted to the history of science and its cultural influences
  • 2007

J 1008Über die im elektromagnetischen Felde aus ruhende Körper ausgeubten pondermotorische Kräfte

  • Ann. Phys