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20092025
most citedSome statistical aspects of the spinor field Fermi-Bose duality

17 citations · 33 across the 16 of their papers we have counts for

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math-ph2024

The Dirac Equation Near Centenary: a Contemporary Introduction to the Dirac Equation Consideration

V. M. Simulik

More then 35 approaches to the Dirac equation derivation are presented. The various physical principles and mathematical methods are used. A review of well-known and not enough kno…

math-ph2019★ 1 cited

On the hidden symmetries of relativistic hydrogen atom

Volodimir Simulik

The Dirac equation in the external Coulomb field is proved to possess the symmetry determined by the 31 operators, which form the 31-dimensional algebra. Two different fermionic re…

math-ph2013★ 3 cited

Once more on the derivation of the Dirac equation

V. Simulik, I. Krivsky

A brief review of the different ways of the Dirac equation derivation is given. The foundations of the relativistic canonical quantum mechanics of a fermionic doublet are formulate…

math-ph2013

Structure and different realizations of the extended real Clifford-Dirac algebra

V. M. Simulik, I. Yu. Krivsky, I. O. Gordievich +1

The structure of the 64-dimensional extended real Clifford-Dirac (ERCD) algebra, which has been introduced in our paper Phys. Lett. A. 375 (2011) 2479, is under consideration. The…

math-ph2013★ 1 cited

The Schrodinger-Foldy relativistic canonical quantum mechanics and the derivation of the Dirac equation

I. Yu. Krivsky, V. M. Simulik, I. L. Lamer +1

The detailed consideration of the relativistic canonical quantum-mechanical model of an arbitrary spin-multiplet is given. The group-theoretical analysis of the algebra of experime…

math-ph2012★ 17 cited

Some statistical aspects of the spinor field Fermi-Bose duality

V. M. Simulik, I. Yu. Krivsky, I. L. Lamer

The structure of 29-dimensional extended real Clifford-Dirac algebra, which has been introduced in our paper Phys. Lett. A, 2011, 375, 2479, is considered in brief. Using this alge…