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In this paper one deals with the theoretical derivation of spin precessioneffects in quasi 1D quantum wire models. Such models get characterized by equalcoupling strength superpositions of Rashba and Dresselhaus spin-orbitinteractions of dimensionless magnitude $a$ under the influence of in-planemagnetic fields of magnitude $B$. Besides the wavenumber $k$ relying on the 1Delectron, one accounts for the $s=\pm $ 1 - factors in the front of the squareroot term of the energy. Electronic structure properties of quasi 1Dsemiconductor heterostructures like InAs quantum wires can then be readilydiscussed. Indeed, resorting to the 2D rotation matrix provided by competingdisplacements working along the Ox-axis opens the way to derive precessionangles one looks for, as shown recently. Proceeding further, we have to resortreasonably to some extra conditions concerning the general selection of the$k$-wavenumber via $kL=1$, where $L$ stands for the nanometer length scale ofthe quantum wire. We shall also account for rescaled wavenumbers, which opensthe way to extrapolations towards imaginary and complex realizations. Theparameter dependence of the precession angles is characterized, in general, byinterplays between admissible and forbidden regions, but large monotonyintervals are also in order.

Revisiting the derivation of spin precession effects in quasi one-dimensional quantum wire models