Quantum Physics

    

Generalized Relativistic Equation of Arbitrary Mass and Spin and Basis Sets of Spinor Functions for Its Solution in Position, Momentum and Four-Dimensional Spaces

Authors: I.I.Guseinov

Using condition of relativistic covariance, group theory and Clifford algebra the -component Lorentz invariance generalized relativistic wave equation for a particle with arbitrary mass and spin is suggested, where and It is shown that the charged scalar ( ) and noncharged scalar ( ) particles with are described by two-component relativistic equations. Accordingly, the noncharged scalar fermi particles ( ) can be used as an elementary particle of the Standard Model of particle physics. In the case of arbitrary integral spin , the relativistic equation for leads to the equation of massless boson particles. For the solution of presented in this work generalized relativistic equation in the linear combination of atomic orbitals approximation, the 2(2s+1)-component orthogonal basis sets of spinor functions for the arbitrary mass and spin are suggested in position, momentum and four-dimensional spaces.

Comments: 26 pages, 6 tables

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Submission history

[v1] 2014-08-15 07:15:07

Unique-IP document downloads: 377 times

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