Non-abelian and abelian symmetry groups containing time-reversal operators
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GERU, Ion. Non-abelian and abelian symmetry groups containing time-reversal operators. In: Springer Tracts in Modern Physics, 12 noiembrie 2018, Dusseldorf. Dusseldorf, Germania: Springer Verlag, 2018, Vol. 281, pp. 229-255. ISSN 00813869. DOI: https://doi.org/10.1007/978-3-030-01210-6_8
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Springer Tracts in Modern Physics
Vol. 281, 2018
Sesiunea "Springer Tracts in Modern Physics"
Dusseldorf, Germania, 12 noiembrie 2018

Non-abelian and abelian symmetry groups containing time-reversal operators

DOI:https://doi.org/10.1007/978-3-030-01210-6_8

Pag. 229-255

Geru Ion
 
Institute of Chemistry
 
 
Disponibil în IBN: 28 august 2021


Rezumat

On the basis of the group-theoretic approach, the existence of six new time reversal operators is proved, along with the well-known anti-unitary time-reversal operator introduced into quantum mechanics by Wigner. Among the new time-reversal operators, three are anti-unitary and three are unitary. A characteristic feature of the new time-reversal operators is that under their action the signs do not change for all three spin projection operators, but only for two or only for one of them. For this reason, such operators should be called operators of incomplete time reversal, in contrast to the Wigner operator, which in this context is an operator of complete time reversal.

Cuvinte-cheie
Clifford Algebra, Spinor, Confluent Hypergeometric Function