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

DOI10.1016/j.physleta.2009.04.025zbMath1229.81342OpenAlexW2078240551MaRDI QIDQ653182

I. I. Guseinov

Publication date: 6 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.04.025

zbMATH Keywords

overlap integralsnonrelativistic scalar orbitalsrelativistic and quasirelativistic Slater tensor orbitalsrelativistic and quasirelativistic tensor wave functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

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Cites Work

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• Unified treatment of complete orthonormal sets of functions in coordinate, momentum and four-dimensional spaces and their expansion and one-range addition theorems
• Unified treatment of complete orthonormal sets for wave functions, and Slater orbitals of particles with arbitrary spin in coordinate, momentum and four-dimensional spaces
• Natural Orbitals in the Quantum Theory of Two-Electron Systems
• On the eigenfunctions of many-particle systems in quantum mechanics
• On the interaction of two electrons

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