Generalizations of the Dirac Representation

A. Böhm

doi:10.1103/PhysRevD.3.367

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Generalizations of the Dirac Representation

A. Böhm

Center for Particle Theory, Department of Physcis, The University of Texas, Austin, Texas 78712

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Phys. Rev. D 3, 367 – Published 15 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.367

Abstract

Representation spaces of the relativistic symmetry are investigated, which are "infinite-dimensional" generalizations of the space of solutions of the Dirac equation. The representations are extended by the discrete operators $C$ , $P$ , and $T$ . Application of these representations to the description of baryons and mesons is discussed.

References (27)

Omitted endnote
P. Budini and C. Fronsdal, Phys. Rev. Letters 14, 968 (1965)
A. Böhm and G. B. Mainland, Fortschr. Physik 18 (1970)
A. Böhm, in Lectures in Theoretical Physics (Gordon and Breach, New York, 1968), Vol. 10B, p. 483 Phys. Rev. 175, 1767 (1968)
Y. Nambu, in Proceedings of the 1967 International Conference on Particles and Fields (Interscience, New York, 1968)
A. O. Barut, in Lectures in Theoretical Physics (Gordon and Breach, New York, 1968), Vol. 10B, p. 377
J. B. Ehrman, (a) Proc. Cambridge Phil. Soc. 53, 290 (1957) (b) thesis, Princeton University, 1954 (unpublished)
[7]
A. Böhm, Phys. Rev. Letters 23, 436 (1969)
([2])
Omitted endnote
A. Böhm, J. Math. Phys. 8, 1557 (1967)
Omitted endnote
Omitted endnote
Omitted endnote
Omitted endnote
[3]
Omitted endnote
L. Jaffe, J. Math. Phys. (to be published)
M. A. Naimark, Linear Representations of the Lorentz Group (Pergamon, New York, 1964)
([3])
([12]) K. Maurin, General Eigenfunction Expansions and Unitary Representations of Topological Groups (Polish Scientific Publishers, Warszawa, 1968), Ch. II A. Böhm, in Boulder Lectures in Theoretical Physics (Colorado U. P., Boulder, 1966), Vol. 9A, p. 255
A. C. Barut ([6]) ([5])
E. P. Wigner, in Group Theoretical Concepts and Methods in Elementary Particle Physics, edited by F. Gürsey (Gordon and Breach, New York, 1964), p. 37
Haim Goldberg, Nuovo Cimento 60A, 509 (1969)
W. Kienzle, Invited paper at the Washington Meeting of the American Physical Society, 1970 (unpublished) CERN report (unpublished)
S. Ström; Arkiv Fysik 33, 465 (1967) R. Delbourgo, K. Koller, and P. Mahanta, Nuovo Cimento 52A, 1254 (1967)

[c1] Omitted endnote

[c2] P. Budini and C. Fronsdal, Phys. Rev. Letters 14, 968 (1965)

[c3] A. Böhm and G. B. Mainland, Fortschr. Physik 18 (1970)

[c4] A. Böhm, in Lectures in Theoretical Physics (Gordon and Breach, New York, 1968), Vol. 10B, p. 483 Phys. Rev. 175, 1767 (1968)

[c5] Y. Nambu, in Proceedings of the 1967 International Conference on Particles and Fields (Interscience, New York, 1968)

[c6] A. O. Barut, in Lectures in Theoretical Physics (Gordon and Breach, New York, 1968), Vol. 10B, p. 377

[c7] J. B. Ehrman, (a) Proc. Cambridge Phil. Soc. 53, 290 (1957) (b) thesis, Princeton University, 1954 (unpublished)

[c8] [7]

[c9] A. Böhm, Phys. Rev. Letters 23, 436 (1969)

[c10] ([2])

[c11] Omitted endnote

[c12] A. Böhm, J. Math. Phys. 8, 1557 (1967)

[c13] Omitted endnote

[c14] Omitted endnote

[c15] Omitted endnote

[c16] Omitted endnote

[c17] [3]

[c18] Omitted endnote

[c19] L. Jaffe, J. Math. Phys. (to be published)

[c20] M. A. Naimark, Linear Representations of the Lorentz Group (Pergamon, New York, 1964)

[c21] ([3])

[c22] ([12]) K. Maurin, General Eigenfunction Expansions and Unitary Representations of Topological Groups (Polish Scientific Publishers, Warszawa, 1968), Ch. II A. Böhm, in Boulder Lectures in Theoretical Physics (Colorado U. P., Boulder, 1966), Vol. 9A, p. 255

[c23] A. C. Barut ([6]) ([5])

[c24] E. P. Wigner, in Group Theoretical Concepts and Methods in Elementary Particle Physics, edited by F. Gürsey (Gordon and Breach, New York, 1964), p. 37

[c25] Haim Goldberg, Nuovo Cimento 60A, 509 (1969)

[c26] W. Kienzle, Invited paper at the Washington Meeting of the American Physical Society, 1970 (unpublished) CERN report (unpublished)

[c27] S. Ström; Arkiv Fysik 33, 465 (1967) R. Delbourgo, K. Koller, and P. Mahanta, Nuovo Cimento 52A, 1254 (1967)

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Generalizations of the Dirac Representation

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