Properties of non-unitary zero mass induced representations of the Poincaré group on the space of tensor-valued functions

A. O. Barut; R. Raczka

Annales de l'I.H.P. Physique théorique (1972)

  • Volume: 17, Issue: 2, page 111-118
  • ISSN: 0246-0211

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Barut, A. O., and Raczka, R.. "Properties of non-unitary zero mass induced representations of the Poincaré group on the space of tensor-valued functions." Annales de l'I.H.P. Physique théorique 17.2 (1972): 111-118. <http://eudml.org/doc/75749>.

@article{Barut1972,
author = {Barut, A. O., Raczka, R.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {2},
pages = {111-118},
publisher = {Gauthier-Villars},
title = {Properties of non-unitary zero mass induced representations of the Poincaré group on the space of tensor-valued functions},
url = {http://eudml.org/doc/75749},
volume = {17},
year = {1972},
}

TY - JOUR
AU - Barut, A. O.
AU - Raczka, R.
TI - Properties of non-unitary zero mass induced representations of the Poincaré group on the space of tensor-valued functions
JO - Annales de l'I.H.P. Physique théorique
PY - 1972
PB - Gauthier-Villars
VL - 17
IS - 2
SP - 111
EP - 118
LA - eng
UR - http://eudml.org/doc/75749
ER -

References

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  1. [1] R. Shaw, Nuovo Cim., vol. 37, 1965, p. 1086; J. Bertrand, Nuovo Cim., vol. 1 A, 1971, p. 1; L. Bracci, Pisa preprint (July 1971); S.N. Gupta, Proc. Phys. Soc., A, vol. 63, 1950, p. 691; K. Bleuler, Helv. Phys. Acta, vol. 23, 1950, p. 567; H.E. Moses, J. math. Phys., vol. 5, 1968, p. 16 and references therein; W. Langbein, Comm. Math. Phys., vol. 5, 1967, p. 73; S. Weinberg, Brandeis Lectures, vol. 2, 1964, p. 405 (Prentice-Hall, 1965); A.S. Wightman and L. Gårding, Ark. Fys., vol. 28, 1965, p. 129; F. Strocchi, Phys. Rev., vol. 162, 1967, p. 1429; H.P. Dürr and E. Rudolph, Nuovo Cim., vol. 65 A, 1970, p. 423. MR194070
  2. [2] G. Mackey, see Appendix in E. Segal, Mathematical Problems in Relativistic Physics, 1965. (M. I. T. Press, 1966). 
  3. [3] The extension of Imprimitivity Theorem for representations of Poincaré group in topological vector spaces allows us to give a classification of non-unitary representation. See M. Flato and D. Sternheimer, Proceedings of French–Swedish Colloquium on Mathematical Physics, Goteborg, 1971. 
  4. [4] E.P. Wigner, Annals of Mathematics, vol. 40, 1939, p. 149. Zbl0020.29601JFM65.1129.01
  5. [5] J.M.G. Fell, Acta Math., vol. 114, 1965, p. 267. Zbl0152.33204MR186754
  6. [6] R. Raczka, Theory of Unstable Particles. Part I : Relativistic Quantum Mechanics of Isolated Particles, preprint, University of Colorado, Boulder, 1971. 

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