@article{AIHPA_1972__17_2_111_0,
author = {Barut, A. O. and Raczka, R.},
title = {Properties of non-unitary zero mass induced representations of the {Poincar\'e} group on the space of tensor-valued functions},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {111--118},
year = {1972},
publisher = {Gauthier-Villars},
volume = {17},
number = {2},
mrnumber = {325032},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1972__17_2_111_0/}
}
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'institut Henri Poincaré. Section A, Physique Théorique PY - 1972 SP - 111 EP - 118 VL - 17 IS - 2 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1972__17_2_111_0/ LA - en ID - AIHPA_1972__17_2_111_0 ER -
%0 Journal Article %A Barut, A. O. %A Raczka, R. %T Properties of non-unitary zero mass induced representations of the Poincaré group on the space of tensor-valued functions %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1972 %P 111-118 %V 17 %N 2 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1972__17_2_111_0/ %G en %F AIHPA_1972__17_2_111_0
Barut, A. O.; Raczka, R. Properties of non-unitary zero mass induced representations of the Poincaré group on the space of tensor-valued functions. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 17 (1972) no. 2, pp. 111-118. https://www.numdam.org/item/AIHPA_1972__17_2_111_0/
[1] , Nuovo Cim., vol. 37, 1965, p. 1086; , Nuovo Cim., vol. 1 A, 1971, p. 1; , Pisa preprint (July 1971); , Proc. Phys. Soc., A, vol. 63, 1950, p. 691; , Helv. Phys. Acta, vol. 23, 1950, p. 567; , J. math. Phys., vol. 5, 1968, p. 16 and references therein; , Comm. Math. Phys., vol. 5, 1967, p. 73; , Brandeis Lectures, vol. 2, 1964, p. 405 (Prentice-Hall, 1965); and , Ark. Fys., vol. 28, 1965, p. 129; , Phys. Rev., vol. 162, 1967, p. 1429; and , Nuovo Cim., vol. 65 A, 1970, p. 423. | MR
[2] , see Appendix in , Mathematical Problems in Relativistic Physics, 1965. (M. I. T. Press, 1966).
[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 and , Proceedings of French-Swedish Colloquium on Mathematical Physics, Goteborg, 1971.
[4] , Annals of Mathematics, vol. 40, 1939, p. 149. | Zbl | JFM
[5] , Acta Math., vol. 114, 1965, p. 267. | Zbl | MR
[6] , Theory of Unstable Particles. Part I : Relativistic Quantum Mechanics of Isolated Particles, preprint, University of Colorado, Boulder, 1971.






