Il Nuovo Cimento A (1965-1970)

, Volume 52, Issue 3, pp 879–891 | Cite as

Physical and nonphysical representations of the Galilei group

  • L. H. Ryder
Article
First Online:
Received:

Summary

Even nonrelativistically, spin is not necessarily given by the representations ofSU2. There are «nonphysical» representations of the Galilei group whose little group is noncompact, and hence generates some sort of «infinite» spin. It is shown that these nonphysical representations are the nonrelativistic limit of representations of the Poincaré group for states with spacelike momentum.

Keywords

Unitary Representation Nonrelativistic Limit Invariant Subgroup Reflection Operator SchrSdinger Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Физические и нефизические представления группы Галилея

Резюме

Даже в нерелятивизме, спин не задаётся обязательно представлениямиSU2. Существуют нефизические представления группы Галилея, чья маленькая группа не является компактной и, следовательно, генерирует некоторый вид «бесконечного» спина. Показывается, что эти нефизические представления являются нерелятивистским пределом представлений группы Пуанкаре для состояний с пространственно-подобным импульсом.

Riassunto

Anche non relativisticamente, lo spin non è necessariamente dato dalle rappresentazioni dellaSU2. Vi sono rappresentazioni «non fisiche» del gruppo di Galileo, il cui piccolo gruppo è non compatto, e quindi genera una specie di spin «infinito». Si dimostra che queste rappresentazioni non fisiche sono il limite non relativistico di gruppi di Poincaré per stati con impulso spaziale.

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Copyright information

© Società Italiana di Fisica 1967

Authors and Affiliations

  • L. H. Ryder
    • 1
  1. 1.Clarendon LaboratoryUniversity of OxfordOxford

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