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

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

2006-02-10

arxiv.org/abs/hep-th/0602104v3

Annalen Phys.17:937-946,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages latex, to be published in Annalen der Physik

Scientific paper

10.1002/andp.200710327

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.

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