Israfil I. Guseinov: A pioneer of the quantum theory of atomic, molecular, and nuclear systems*

Мамедов, Б. А.

doi:10.1002/qua.24574

Cited by 13 publications

(7 citation statements)

References 122 publications

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“…theory. The analytical formulas for the quantum attraction forces suggested in the previous papers [8][9][10] are the extensions of Lorentz theory to the quantum cases in standard and nonstandard conventions (see [11,12] and references therein to our works on standard and nonstandard conventions). In the quantum cases, the SF particles move around the nucleus under relativistic NSST attraction forces.…”

Section: ⃗ Wherementioning

confidence: 99%

Quantum Self-Frictional Relativistic Nucleoseed Spinor-Type Tensor Field Theory of Nature

Guseinov

2017

Advances in High Energy Physics

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For study of quantum self-frictional (SF) relativistic nucleoseed spinor-type tensor (NSST) field theory of nature (SF-NSST atomic-molecular-nuclear and cosmic-universe systems) we use the complete orthogonal basis sets of22s+1-component column-matrices type SFΨnljmjδ⁎s-relativistic NSST orbitals (Ψδ⁎s-RNSSTO) and SFXnljmjs-relativistic Slater NSST orbitals (Xs-RSNSSTO) through theψnlmlδ⁎-nonrelativistic scalar orbitals (ψδ⁎-NSO) andχnlml-nonrelativistic Slater type orbitals (χ-NSTO), respectively. Hereδ⁎=pl⁎orδ⁎=α⁎andpl⁎=2l+2-α⁎, α⁎are the integer(α⁎=α, -∞<α≤2) or noninteger(α⁎≠α, -∞<α⁎<3) SF quantum numbers, wheres=0,1/2,1,3/2,2,…. We notice that the nonrelativisticψδ⁎-NSO andχ-NSTO orbitals themselves are obtained from the relativisticΨδ⁎s-RNSSTO andXs-RSNSSTO functions fors=0, respectively. The column-matrices-type SFY1jmjls-RNSST harmonics (Y1ls-RNSSTH) andY2jmjls-modified NSSTH (Y2ls-MNSSTH) functions for arbitrary spinsintroduced by the author in the previous papers are also used. The one- and two-center one-range addition theorems forψδ⁎-NSO and nonintegern χ-NSTO orbitals are presented. The quantum SF relativistic nonperturbative theory forVnljmjδ⁎-RNSST potentials (Vδ⁎-RNSSTP) and their derivatives is also suggested. To study the transportations of mass and momentum in nature the quantum SF relativistic NSST gravitational photon (gph) withs=1is introduced.

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Section: ⃗ Wherementioning

confidence: 99%

Quantum Self-Frictional Relativistic Nucleoseed Spinor-Type Tensor Field Theory of Nature

Guseinov

2017

Advances in High Energy Physics

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“…Refs. [7][8][9] and references therein to our papers). We note that the presented approach in this work is an extension of suggested in a previous paper [10] to the case of atomic-molecular systems constructed from noncharged scalar particles.…”

Section: Introductionmentioning

confidence: 99%

Combined open shell Hartree-Fock theory of atomic and molecular systems constructed from noncharged scalar particles

Guseinov¹

2014

phys essays

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By the use of condition of relativistic covariance, Dirac group theory, Clifford algebra and complete orthonormal sets of (*) α ψ-self-frictional exponential type orbitals ((*) α ψ-SFETOs) introduced by the author in standard convention, the Hartree-Fock (HF) theory is suggested for multideterminantal single configuration states with any number of open shells of atoms and molecules constructed from the Standard Model-Fermi (SM-F) particles with 0, 0 0 m s and e = = defined in the Standard Model of particle physics. It is shown that the origin of stability of these systems is the quantum damping or self-frictional forces produced by the SM-F particle itself. As an application, we have presented the periodic table for the SM-F atomic elements using Pauli principle of spinless noncharged identical SM-F particles.

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“…We note that the presented approach is based on the use of y a ( *) -SFETOs in standard convention introduced in our previous works (see Ref. [13]). …”

Section: Introductionmentioning

confidence: 99%

“…The analytical formulas for the quantum SF attraction forces in terms of y a ( *) -SFETOs, suggested in, [10][11][12] are the extensions of Lorentz theory to the quantum cases in standard convention (see Ref. [13] and references therein to our works on standard convention). In the quantum cases, atomic SF particles move under SF attraction forces which depend on quantum numbers n l , , * a and scaling parameters of orbitals.…”

Section: Introductionmentioning

confidence: 99%

Use of Auxiliary Functions for Construction of Series Expansion Relations of Noninteger Slater Functions in Standard Convention

Guseinov

2015

J Chinese Chemical Soc

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Using complete orthonormal sets of y a ( *) -self-frictional exponential type orbitals (y a ( *) -SFETOs) and Q q -noninteger auxiliary functions (Q q -NIAFs) introduced by the author, the combined formulas for the one-and two-center one-range addition theorems of c-noninteger Slater type orbitals (c-NISTOs) with arbitrary values of distances between centers R ab (for R ab = 0 and R ab ¹ 0), and of integer (for a * = a, -¥ < a £ 2) and noninteger (for a * ¹ a, -¥ < a* < 3) self-frictional (SF) quantum numbers are suggested. The presented relations for the one-range addition theorems can be useful tools especially in the electronic structure studies of atoms, molecules and solids when c-NISTOs are employed as basis functions.

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Israfil I. Guseinov: A pioneer of the quantum theory of atomic, molecular, and nuclear systems*

Cited by 13 publications

References 122 publications

Quantum Self-Frictional Relativistic Nucleoseed Spinor-Type Tensor Field Theory of Nature

Quantum Self-Frictional Relativistic Nucleoseed Spinor-Type Tensor Field Theory of Nature

Combined open shell Hartree-Fock theory of atomic and molecular systems constructed from noncharged scalar particles

Use of Auxiliary Functions for Construction of Series Expansion Relations of Noninteger Slater Functions in Standard Convention

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