2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27258The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-$\frac{1}{2}$ $XY$ chains. Special attention is given to examining the influence of disorder on the average transverse dynamical susceptibility of Ising chain in random transverse field.12 pages, LaTeXCondensed MatterRandom $s=1/2$ $XY$ chains and the theory of quasi-one-dimensional ferroelectrics with hydrogen bondstext