Spatio-temporal Symmetry - Point Groups with Time Translations
arXiv:1701.04088 · doi:10.3390/sym9090187
Abstract
Spatial symmetries occur in combination with temporal symmetries in a wide range of physical systems in nature, including time-periodic quantum systems typically described by the Floquet formalism. In this context, groups formed by three-dimensional point group symmetry operations in combination with time translation operations are discussed in this work. The derivation of these 'spatio-temporal' groups from conventional point groups and their irreducible representations is outlined, followed by a complete listing. The groups are presented in a template similar to space group operations, and are visualized using a modified version of conventional stereographic projections. Simple examples of physical processes that simultaneously exhibit symmetry in space and time are identified and used to illustrate the application of spatio-temporal groups.
arXiv commentaccepted by MDPI; 18 pages, 2 ancillary pdf; edits as per reviewer feedback - added generalized listings of groups, references, acknowledgements, and general revisions to text, results unchanged
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