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
DOI10.1007/s10910-009-9582-9zbMath1227.81159arXiv0812.2792OpenAlexW2594855381MaRDI QIDQ848170
Publication date: 2 March 2010
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.2792
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Spinor and twistor methods applied to problems in quantum theory (81R25) 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 of nonrelativistic, quasirelativistic and relativistic sets of spinor wave functions, and Slater spinor orbitals in coordinate, momentum and four-dimensional spaces
- Unified treatment of complete orthonormal sets for wave functions, and Slater orbitals of particles with arbitrary spin in coordinate, momentum and four-dimensional spaces
- Expansion formulae for two-center integer and noninteger \(n\) STO charge densities and their use in evaluation of multi-center integrals
- Natural Orbitals in the Quantum Theory of Two-Electron Systems
- On the eigenfunctions of many-particle systems in quantum mechanics
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