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Propagation of a relativistic particle in terms of the unitary irreducible representations of the Lorentz group

✍ Scribed by R.A. Frick

Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
87 KB
Volume
22
Category
Article
ISSN
1434-6044

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πŸ“œ SIMILAR VOLUMES

Matter waves in terms of the unitary rep
Matter waves in terms of the unitary representations of the Lorentz group
✍ R.A. Frick πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 177 KB πŸ‘ 1 views

In a generalized Heisenberg/SchrΓΆdinger 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

Elementary fields and irreducible repres
Elementary fields and irreducible representations of the Lorentz group
✍ P. Hillion; J.P. Vigier πŸ“‚ Article πŸ“… 1960 πŸ› Elsevier Science βš– 679 KB

With the help of a new representation of the Lorentz group in terms of complex relativistic Euler angles we determine a specific set of finite-dimensional vector spaces irreducible under Lorentz transfolβ€’mations. If we further associate every elementary particle family with such a space we obtain a