foldy-wouthuysen transformation 1generalized dirac equation 1non-relativistic limit 1spin-gravity coupling 1symmetric teleparallel gravity 1
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quant-ph2026
N-dimensional Coulomb-Sturmians with noninteger quantum numbers
Ali Bagci
Coulomb-Sturmian functions are complete, orthonormal, and include the full spectrum of continuum states. They are restricted to integer values of quantum numbers, as imposed by bou…
quant-ph2026
Multidimensional derivative-free optimization. A case study on minimization of Hartree-Fock-Roothaan energy functionals
A. Bagci
This study presents an evaluation of derivative-free optimization algorithms for the direct minimization of Hartree-Fock-Roothaan energy functionals involving nonlinear orbital par…
quant-ph2025
Complete and Orthonormal Sets of Exponential-type Orbitals with non-integer quantum numbers. On the results for many-electron atoms using Roothaan's LCAO method
Ali Bagci, Philip E. Hoggan
Complete orthonormal sets of exponential-type orbitals with non-integer principal quantum numbers are discussed as basis functions in non-relativistic Hartree-Fock-Roothaan electro…