Matter waves in terms of the unitary representations of the Lorentz group

Abstract

In a generalized Heisenberg/Schroedinger picture, the unitary representations of the Lorentz group may, for a massive relativistic particle, be used to attribute to waves an extra wavelength that is longer than the de Broglie wavelength. Propagators are defined as spacetime transitions between states with different eigenvalues of the first or the second Casimir operator of the Lorentz algebra.

15 pages latex, to be published in Annalen der Physik

References in corpus (1)

• A relativistic superalgebra in a generalized Schroedinger picture

Cited by in corpus (2)

• Model of a relativistic oscillator in a generalized Schrödinger picture
• One particle quantum equation in a de Sitter spacetime