| 书目名称 | Clifford Algebras and their Applications in Mathematical Physics |
| 副标题 | Volume 1: Algebra an |
| 编辑 | Rafał Abłamowicz,Bertfried Fauser |
| 视频video | |
| 丛书名称 | Progress in Mathematical Physics |
| 图书封面 |  |
| 描述 | 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 |
| 出版日期 | Book 2000 |
| 关键词 | Mathematica; Spinor; algebra; clifford algebra; cohomology; differential equation; dynamics; geometry; invar |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4612-1368-0 |
| isbn_softcover | 978-1-4612-7116-1 |
| isbn_ebook | 978-1-4612-1368-0Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
| issn_series | 1544-9998 |
| copyright | Springer Science+Business Media New York 2000 |
发表于 2025-3-21 17:09:06
