✍️ 🧑‍🦱 💚 Autor:innen verdienen bei uns doppelt. Dank euch haben sie so schon 418.243 € mehr verdient. → Mehr erfahren 💪 📚 🙏

Clifford Algebras and their Applications in Mathematical Physics

Clifford Algebras and their Applications in Mathematical Physics

Softcover - 9781461271161
53,49 €
  • Versandkostenfrei
Auf meine Merkliste
  • Hinweis: Print on Demand. Lieferbar in 2 Tagen.
  • Lieferzeit nach Versand: ca. 1-2 Tage
  • inkl. MwSt. & Versandkosten (innerhalb Deutschlands)

Autorenfreundlich Bücher kaufen?!

Beschreibung

The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (Pauli-Lubanski) spin part (1. 5) in such a way that (1. 6) However, as proved by Zakrzewski [2, 7J, the so-defined new shifted four a position functions X must fulfill the following Poisson bracket relations: (1.

Volume 1: Algebra and Physics

Details

Verlag Birkhäuser Boston
Ersterscheinung 16. Oktober 2012
Maße 23.5 cm x 15.5 cm
Gewicht 739 Gramm
Format Softcover
ISBN-13 9781461271161
Seiten 461

Herstellerinformationen +