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The momentum, electronic density, spin density, and interaction dependencesof the exponents that control the $(k,\omega)$-plane singular features of the$\sigma =\uparrow,\downarrow$ one-electron spectral functions of the 1D Hubbardmodel at finite magnetic field are studied. The usual half-filling concepts ofone-electron lower Hubbard band and upper Hubbard band are defined for allelectronic density and spin density values and the whole finite repulsion rangein terms of the rotated electrons associated with the model Bethe-ansatzsolution. Such rotated electrons are the link of the non-perturbative relationbetween the electrons and the pseudofermions. Our results further clarify themicroscopic processes through which the pseudofermion dynamical theory accountsfor the $\sigma $ one-electron matrix elements between the ground state andexcited energy eigenstates.

One-electron singular spectral features of the 1D Hubbard model at finite magnetic field