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How to construct self/anti-self charge conjugate states for higher spins?
Valeriy V. Dvoeglazov
We construct self/anti-self charge conjugate (Majorana-like) states for the (1/2, 0)+(0, 1/2) representation of the Lorentz group, and their analogs for higher spins within the qua…
Majorana Neutrino: Chirality and Helicity
Valeriy V. Dvoeglazov
We introduce the Majorana spinors in the momentum representation. They obey the Dirac-like equation with eight components, which has been first introduced by Markov. Thus, the Fock…
The Bargmann-Wigner Formalism for Higher Spins (up to 2)
Valeriy V. Dvoeglazov
On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Rela…
The Construction of Quantum Field Operators: Something of Interest
Valeri V. Dvoeglazov
We draw attention to some tune problems in constructions of the quantum-field operators for spins 1/2 and 1. They are related to the existence of negative-energy and acausal soluti…
Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization
Valeri V. Dvoeglazov
On the basis of our recent modifications of the Dirac formalism we generalize the Bargmann-Wigner formalism for higher spins to be compatible with other formalisms for bosons. Rela…
Fermion-fermion and boson-boson amplitudes: surprising similarities
Valeri V. Dvoeglazov
Amplitudes for fermion-fermion, boson-boson and fermion-boson interactions are calculated in the second order of perturbation theory in the Lobachevsky space. An essential ingredie…
The Barut Second-Order Equation, Dynamical Invariants and Interactions
Valeri V. Dvoeglazov
The second-order equation in the (1/2,0)+(0,1/2) representation of the Lorentz group has been proposed by A. Barut in the beginning of the 70s. It permits to explain the mass split…
Helicity Basis for Spin 1/2 and 1, and Discrete Symmetry Operations
Valeri V. Dvoeglazov, J. L. Quintanar Gonzalez
We study the theory of the (1/2,0)+(0,1/2) and (1,0)+(0,1) representations of the Lorentz group in the helicity basis. The helicity eigenstates are not the parity eigenstates. This…
Helicity Basis and Parity
Valeri V. Dvoeglazov
We study the theory of the (1/2,0)+(0,1/2) representation in helicity basis. Helicity eigenstates are not the parity eigenstates. This is in accordance with the consideration of Be…
Is the Space-Time Non-Commutativity Simply Non-Commutativity of Derivatives?
Valeri V. Dvoeglazov
Recently, some problems have been found in the definition of the partial derivative in the case of the presence of both explicit and implicit functional dependencies in the classic…
A Note on Non-commutativity
Valeri V. Dvoeglazov
Ambiguities have recently been found in the definition of the partial derivative (in the case of presence of both explicit and implicit dependencies of the function subjected to di…
Methods for Derivation of Generalized Equations in the (S,0)+(0,S) Representations of the Lorentz Group
Valeriy V. Dvoeglazov
We continue the discussion of several explicit examples of generalizations in relativistic quantum mechanics. We discussed the generalized spin-1/2 equations for neutrinos and the…
Translational and Rotational Properties of Antisymmetric Tensor Fields
Valeri V. Dvoeglazov
Recently, several discussions on the possible observability of 4-vector potential have been published in literature. Furthermore, several authors recently claimed existence of the…
`Longitudinal Nature' of Antisymmetric Tensor Field After Quantization and Importance of the Normalization
Valeri Dvoeglazov
It has long been claimed that the antisymmetric tensor field of the second rank is pure longitudinal after quantization. In my opinion, such a situation is quite unacceptable. I re…
The modified Bargmann-Wigner formalism: The Higher Spins
Valeri V. Dvoeglazov
In the old articles of Ogievetskii and Polubarinov, Kalb and Ramond the notoph concept, the longitudinal field originated from the antisymmetric tensor (AST), has been proposed. In…
The Bargmann-Wigner Formalism for Spin 2
Valeri V. Dvoeglazov
We proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism in a straightforward way. The symmetric multispinor of the…
Self/Anti-Self Charge Conjugate States for j=1/2 and j=1
Valeri V. Dvoeglazov
We briefly review recent achievements in the theory of neutral particles (the Majorana-McLennan-Case-Ahluwalia construct for self/anti-self charge conjugate states for j=1/2 and j=…