Unified treatment of complete orthonormal sets for wave functions, and Slater orbitals of particles with arbitrary spin in coordinate, momentum and four-dimensional spaces

DOI10.1016/j.physleta.2007.07.005zbMath1217.81157OpenAlexW2081044252MaRDI QIDQ555718

I. I. Guseinov

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.005

zbMATH Keywords

overlap integraltensor Slater orbitaltensor spherical harmonictensor wave function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Spherical harmonics (33C55)

Related Items

Combined theory of two- and four-component complete orthonormal sets of spinor wave functions and Slater type spinor orbitals in position, momentum and four-dimensional spaces ⋮ On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions ⋮ Theory of complete orthonormal sets of relativistic tensor wave functions and Slater tensor orbitals of particles with arbitrary spin in position, momentum and four-dimensional spaces

Cites Work

• Unnamed Item
• Natural Orbitals in the Quantum Theory of Two-Electron Systems
• Weakly convergent expansions of a plane wave and their use in Fourier integrals
• A matrix representation of the translation operator with respect to a basis set of exponentially declining functions

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