Time Reversal for Spacetime and Internal Symmetry

1995 ◽  
pp. 129-134
Author(s):  
E. C. G. Sudarshan
1995 ◽  
Vol 25 (1) ◽  
pp. 139-143 ◽  
Author(s):  
E. C. G. Sudarshan ◽  
L. C. Biedenharn

2006 ◽  
Vol 03 (03) ◽  
pp. 631-640
Author(s):  
GIUSEPPE SCOLARICI

We classify the irreducible quaternionic representations of the extensions of internal symmetry groups by the group of space–time discrete symmetries. We obtain the possible forms of time reversal violating Hamiltonians in the case that the generalized parity operator is of geometrical type.


PIERS Online ◽  
2006 ◽  
Vol 3 (8) ◽  
pp. 1259-1263
Author(s):  
Ian Scott ◽  
Ana Vukovic ◽  
Phillip Sewell
Keyword(s):  

Author(s):  
Hubert Grün ◽  
Christian Hofer ◽  
Markus Haltmeier ◽  
Günther Paltauf ◽  
Peter Burgholzer

2005 ◽  
Author(s):  
David R. Dowling
Keyword(s):  

2009 ◽  
Author(s):  
Robert C. Qiu ◽  
Nan T. Guo ◽  
Yu Song ◽  
Peng P. Zhang ◽  
Zhen E. Hu

2011 ◽  
Author(s):  
William M. Golding
Keyword(s):  

Author(s):  
Ted Janssen ◽  
Gervais Chapuis ◽  
Marc de Boissieu

This chapter first introduces the mathematical concept of aperiodic and quasiperiodic functions, which will form the theoretical basis of the superspace description of the new recently discovered forms of matter. They are divided in three groups, namely modulated phases, composites, and quasicrystals. It is shown how the atomic structures and their symmetry can be characterized and described by the new concept. The classification of superspace groups is introduced along with some examples. For quasicrystals, the notion of approximants is also introduced for a better understanding of their structures. Finally, alternatives for the descriptions of the new materials are presented along with scaling symmetries. Magnetic systems and time-reversal symmetry are also introduced.


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