Unitary representations of the Lorentz group

  title={Unitary representations of the Lorentz group},
  author={Paul Adrien Maurice Dirac},
  journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
  pages={284 - 295}
  • P. Dirac
  • Published 22 February 1945
  • Mathematics
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
Certain quantities are introduced which are like tensors in space-time with an infinite enumerable number of components and with an invariant positive definite quadratic form for their squared length. Some of the main properties of these quantities are dealt with, and some applications to quantum mechanics are pointed out 

Mechanical models for Lorentz group representations

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Classes of then-dimensional Lorentz group

SummaryWe obtain the canonical forms which define the classes of the full Lorentz group inn-dimensions. Besides the forms expected by analogy with the orthogonal group, which can be reduced to the

Appendix A: Mathematical Background

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  • P. Dirac
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1942
Modern developments of atomic theory have required alterations in some of the most fundamental physical ideas. This has resulted in its being usually easier to discover the equations that describe