Spin-one wave equation

Sankaranarayanan, A.; Good, R. H.

doi:10.1007/bf02750706

“…[21,50,52] for discussion on the connection of the Weinberg formulation with the antisymmetric tensor field description and for attempts of explanation of the origins and the consequences of incorrect dispersion relations. 16 See also the old works of Sankaranarayanan and Good [48]. 17 The Weinberg theorem says that for massless particles B − A = helicity, if field transforms on the (A, B) Lorentz group representation.…”

Section: Theory and Phenomenology Of Neutral Particlesmentioning

confidence: 99%

Neutral particles in light of the Majorana-Ahluwalia ideas

Dvoeglazov

¹

1995

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The first part of this article (Sections I and II) presents oneself an overview of theory and phenomenology of truly neutral particles based on the papers of Majorana, Racah, Furry, McLennan and Case. The recent development of the construct, undertaken by Ahluwalia [Mod. Phys. Lett. A9 (1994) 439; Acta Phys. Polon. B25 (1994) 1267; Preprints LANL LA-UR-94-1252, LA-UR-94-3118], could be relevant for explanation of the present experimental situation in neutrino physics and astrophysics.In Section III the new fundamental wave equations for self/anti-self conjugate type-II spinors, proposed by Ahluwalia, are re-casted to covariant form. The connection with the Foldy-Nigam-Bargmann-Wightman-Wigner (FNBWW) type quantum field theory is found. The possible applications to the problem of neutrino oscillations are discussed. ul., 83, Saratov RUSSIA. Internet address: dvoeglazov@main1.jinr.dubna.su 1 There are opposite opinions on the solar neutrino problems. E. g., in his talk "The steady vanishing of the three solar neutrino problems" at the 27th Int. Conf. on High Energy Physics (1994) Prof. D. R. O. Morrison denies [5] their existence at all: "The evidence for any solar neutrino problem is "not compelling".2 Thanks to the two-component neutrino theory proposed by Landau, Lee, Yang and Salam [30].3 Surprisingly, the six of the present upper bounds on m 2 νe are negative [31]. E. g., the LANL result is −147 ± 68 ± 41 eV 2 , the LLNL one, −130 ± 20 ± 15 eV 2 . The most recent measurement (Troitsk, 1994) involves a new kind of systematics and gives −18 ± 6 eV 2 .

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“…The equations have also been presented in the Sankaranarayanan and Good paper of 1965, Ref. [10]. In [11] the theory in the (…”

Section: Introductionmentioning

confidence: 99%

“…The question of definitions of the discrete symmetries operators raised by Silagadze, has not yet been clarified in detail. Explicit examples are presented below and in the previous papers [2,3,4,5,6,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

P, C and T: Different Properties on the Kinematical Level

Dvoeglazov

¹

2017

Unified Field Mechanics II: Formulations and Empirical Tests

0

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We study the discrete symmetries (P ,C and T ) on the kinematical level within the extended Poincaré Group. On the basis of the Silagadze research, we investigate the question of the definitions of the discrete symmetry operators both on the classical level, and in the secondary-quantization scheme. We study the physical contents within several bases: light-front formulation, helicity basis, angular momentum basis, and so on, on several practical examples. We analize problems in construction of the neutral particles in the the (1/2, 0) + (0, 1/2) representation, the (1, 0) + (0, 1) and the (1/2, 1/2) representations of the Lorentz Group. As well known, the photon has the quantum numbers 1 − , so the (1, 0) + (0, 1) representation of the Lorentz group is relevant to its description. We have ambiguities in the definitions of the corresponding operators P , C; T , which lead to different physical consequences. It appears that the answers are connected with the helicity basis properties, and commutations/anticommutations of the corresponding operators, P , C, T , and C 2 , P 2 , (CP ) 2 properties.

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“…The equations have also been presented in the Sankaranarayanan and Good paper of 1965, Ref. [10]. In [11] the theory in the ( 1 2 , 0) ⊕ (0, 1 2 ) representation based on the chiral helicity 4-eigenspinors was proposed.…”

mentioning

confidence: 99%

P, C and T: Different Properties on the Kinematical Level

Dvoeglazov

¹

2018

J. Phys.: Conf. Ser.

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We study the discrete symmetries (P ,C and T ) on the kinematical level within the extended Poincaré Group. On the basis of the Silagadze research, we investigate the question of the definitions of the discrete symmetry operators both on the classical level, and in the secondary-quantization scheme. We study the physical contents within several bases: light-front formulation, helicity basis, angular momentum basis, and so on, on several practical examples. We analize problems in construction of the neutral particles in the the (1/2, 0) + (0, 1/2) representation, the (1, 0) + (0, 1) and the (1/2, 1/2) representations of the Lorentz Group. As well known, the photon has the quantum numbers 1 − , so the (1, 0) + (0, 1) representation of the Lorentz group is relevant to its description. We have ambiguities in the definitions of the corresponding operators P , C; T , which lead to different physical consequences. It appears that the answers are connected with the helicity basis properties, and commutations/anticommutations of the corresponding operators, P , C, T , and C 2 , P 2 , (CP ) 2 properties.

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Spin-one wave equation

Cited by 38 publications

References 11 publications

Neutral particles in light of the Majorana-Ahluwalia ideas

Neutral particles in light of the Majorana-Ahluwalia ideas

P, C and T: Different Properties on the Kinematical Level

P, C and T: Different Properties on the Kinematical Level

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