Spatio-temporal symmetry-Point groups with time translations

Haricharan Padmanabhan, Maggie L. Kingsland, Jason M. Munro, Daniel B. Litvin, Venkatraman Gopalan

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish (US)
Article number187
JournalSymmetry
Volume9
Issue number9
DOIs
StatePublished - Sep 1 2017

Fingerprint

Point groups
Crystal symmetry
Symmetry
symmetry
Stereographic projection
Periodic Systems
Physical process
Symmetry Group
Irreducible Representation
Quantum Systems
Template
templates
derivation
projection
Three-dimensional
formalism
Range of data

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

Padmanabhan, Haricharan ; Kingsland, Maggie L. ; Munro, Jason M. ; Litvin, Daniel B. ; Gopalan, Venkatraman. / Spatio-temporal symmetry-Point groups with time translations. In: Symmetry. 2017 ; Vol. 9, No. 9.
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Spatio-temporal symmetry-Point groups with time translations. / Padmanabhan, Haricharan; Kingsland, Maggie L.; Munro, Jason M.; Litvin, Daniel B.; Gopalan, Venkatraman.

In: Symmetry, Vol. 9, No. 9, 187, 01.09.2017.

Research output: Contribution to journalArticle

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