RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 TMF: Year: Volume: Issue: Page: Find

 TMF, 1970, Volume 4, Number 3, Pages 328–340 (Mi tmf4158)

Representations of the Lorentz group and generalization of helicity states

Ya. A. Smorodinskii, M. Khusar

Abstract: The principal series of unitary representations of the Lorentz group is obtained by complexification of the three-dimensional group of rotations and by the solution of the eigenvalue equation for the Casimir operators. The representation obtained can be expressed simply in terms of $D$ functions (of the first and second kind) of the group of rotations. The harmonic analysis of the functions on the group is discussed. Spherical functions on a two-dimensional complex sphere are constructed.

Full text: PDF file (1152 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1970, 4:3, 867–876

Bibliographic databases:

Citation: Ya. A. Smorodinskii, M. Khusar, “Representations of the Lorentz group and generalization of helicity states”, TMF, 4:3 (1970), 328–340; Theoret. and Math. Phys., 4:3 (1970), 867–876

Citation in format AMSBIB
\Bibitem{SmoKhu70} \by Ya.~A.~Smorodinskii, M.~Khusar \paper Representations of the Lorentz group and generalization of helicity states \jour TMF \yr 1970 \vol 4 \issue 3 \pages 328--340 \mathnet{http://mi.mathnet.ru/tmf4158} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=462276} \zmath{https://zbmath.org/?q=an:0201.58404} \transl \jour Theoret. and Math. Phys. \yr 1970 \vol 4 \issue 3 \pages 867--876 \crossref{https://doi.org/10.1007/BF01038301} 

• http://mi.mathnet.ru/eng/tmf4158
• http://mi.mathnet.ru/eng/tmf/v4/i3/p328

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. A. Izmest'ev, “Wave fields of beam type and spatial quantization of the angular momentum”, Theoret. and Math. Phys., 7:3 (1971), 591–599
•  Number of views: This page: 319 Full text: 130 References: 22 First page: 1