Zitterbewegung of bosons

Abstract

Zitterbewegung of massive and massless scalar bosons and a massive Proca (spin-1) boson is analyzed. The equations describing the evolution of the velocity and position of the scalar boson in the generalized Feshbach-Villars representation and the corresponding equations for the massive Proca particle in the Sakata-Taketani representation are equivalent to each other and to the well-known equations for the Dirac particle. However, Zitterbewegung does not appear in the Foldy-Wouthuysen representation. Since the position and velocity operators in the Foldy-Wouthuysen representation and their transforms to other representations are the quantum-mechanical counterparts of the corresponding classical variables, Zitterbewegung is not observable.

10 pages, references were added

References in corpus (4)

• Position and spin in relativistic quantum mechanics
• Hamilton Operator and the Semiclassical Limit for Scalar Particles in an Electromagnetic Field
• New symmetry properties of pointlike scalar and Dirac particles
• Quantum-mechanical description of Lense-Thirring effect for relativistic scalar particles

Cited by in corpus (5)

• Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon
• On the world sheet of continuous helicity particle
• Nonlinear Klein-Gordon equation and the Bose-Einstein condensation
• Scalar Product for a Version of Minisuperspace Model with Grassmann Variables
• Consequences of a Two-Time Relativistic Bohmian Model