2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189502We show that the nonlinear chiral supermultiplet allows one to construct, over given two-dimensional bosonic mechanics, the family of two-dimensional ${\cal N}=4$ supersymmetric mechanics parameterized with the holomorphic function $λ(z)$. We show, that this family includes, as a particular case, the ${\cal N}=4$ superextensions of two-dimensional mechanics with magnetic fields, which have factorizable Schroedinger equations.4 papers, PACS numbers 11.30.Pb, 03.65.-w, Typo in Reference [13] corrected. Proper order of References [13] and [14] restoredHigh Energy Physics - Theorytext