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gr-qc2026
Foldy--Wouthuysen Transformation of the Generalized Dirac Equation in Symmetric Teleparallel Gravity
Sabutay Ugur, Muzaffer Adak, Ali Bagci +1
We investigate the non-relativistic limit of the generalized Dirac equation in a weak, static, and spherically symmetric background of symmetric teleparallel gravity. The underlyin…
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…