Abstract
When the system under consideration is invariant with respect to time reversal, it is possible to regard it as having the symmetry of a nonunitary group which consists of time reversal θ in addition to the unitary symmetry operations considered so far. The purpose of this chapter is to discuss the representations (corepresentations) of such nonunitary groups and to examine the additional degeneracy brought in by including the operation θ. A well-known example of a nonunitary group is the magnetic space group. By considering this group, the symmetry of magnons (spin waves) and excitons in magnetic compounds and selection rules for their excitation can be treated in the same way as excitons in molecular crystals.
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References
R. E. Dietz, A. Misetich, H. J. Guggenheim: Phys. Rev. Lett. 16, 841 (1966)
Tables of the irreducible characters are due to J. O. Dimmock, R. G. Wheeler: Phys. Rev. 127, 391 (1962)
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© 1990 Springer-Verlag Berlin Heidelberg
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Inui, T., Tanabe, Y., Onodera, Y. (1990). Time Reversal and Nonunitary Groups. In: Group Theory and Its Applications in Physics. Springer Series in Solid-State Sciences, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80021-4_13
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DOI: https://doi.org/10.1007/978-3-642-80021-4_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60445-7
Online ISBN: 978-3-642-80021-4
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