25 citations
16 papers
Group Theoretical Description of Mendeleev Periodic System
V. V. Varlamov
The group theoretical description of the periodic system of elements in the framework of the Rumer-Fet model is considered. We introduce the concept of a single quantum system, the…
On algebraic structure of matter spectrum
V. V. Varlamov
An algebraic structure of matter spectrum is studied. It is shown that a base mathematical construction, lying in the ground of matter spectrum (introduced by Heisenberg) , is a tw…
Spinor Structure and Matter Spectrum
V. V. Varlamov
Classification of relativistic wave equations is given on the ground of interlocking representations of the Lorentz group. A system of interlocking representations is associated wi…
Spinor Structure and Internal Symmetries
V. V. Varlamov
Spinor structure and internal symmetries are considered within one theoretical framework based on the generalized spin and abstract Hilbert space. Complex momentum is understood as…
CPT Groups of Spinor Fields in de Sitter and Anti-de Sitter Spaces
V. V. Varlamov
groups for spinor fields in de Sitter and anti-de Sitter spaces are defined in the framework of automorphism groups of Clifford algebras. It is shown that de Sitter spaces wi…
Cyclic structures of Cliffordian supergroups and particle representations of Spin_+(1,3)
V. V. Varlamov
Supergroups are defined in the framework of $\dZ_2$-graded Clifford algebras over the fields of real and complex numbers, respectively. It is shown that cyclic structures of comple…