dc.contributor.author | Cervantes, DB | |
dc.contributor.author | Quiroga, SL | |
dc.contributor.author | Perissinotti, LJ | |
dc.contributor.author | Socolovsky, M | |
dc.date.accessioned | 2011-01-22T10:26:32Z | |
dc.date.available | 2011-01-22T10:26:32Z | |
dc.date.issued | 2005 | |
dc.identifier.issn | 0020-7748 | |
dc.identifier.uri | http://hdl.handle.net/11154/1461 | |
dc.description.abstract | We give a geometrical description of the action of the parity operator ( (P) over cap) P) on non-relativistic spin 1/ 2 Pauli spinors in terms of bundle theory. The relevant bundle, SU(2) circle dot Z(2) -> O( 3), is a non-trivial extension of the universal covering group SU( 2) -> SO( 3). (P) over cap is the non-relativistic limit of the corresponding Dirac matrix operator P = i gamma(0) and obeys (P) over cap (2) = -1 From the direct product of O( 3) by Z(2), naturally induced by the structure of the Galilean group, we identify, in its double cover, the time-reversal operator ((T) over cap) T) acting on spinors, and its product with (P) over cap. (P) over cap (T) over cap generate the group Z(4) x Z(2). As in the case of parity, (T) over cap T is the non-relativistic limit of the corresponding Dirac matrix operator T = gamma(3) gamma(1), and obeys (T) over cap (2) = - 1. | en_US |
dc.language.iso | en | en_US |
dc.title | Bundle theory of improper spin transformations | en_US |
dc.type | Article | en_US |
dc.identifier.idprometeo | 1590 | |
dc.identifier.doi | 10.1007/s10773-005-2061-6 | |
dc.source.novolpages | 44(2):267-276 | |
dc.subject.wos | Physics, Multidisciplinary | |
dc.description.index | WoS: SCI, SSCI o AHCI | |
dc.subject.keywords | parity transformation | |
dc.subject.keywords | time reversal | |
dc.subject.keywords | non-relativistic spinors | |
dc.subject.keywords | group theory | |
dc.relation.journal | International Journal of theoretical Physics |
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