2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27353After surveying the quantum kinematics and dynamics of statistical transmutation, I show how this concept suggests a phase diagram for the two-dimensional matter in a magnetic field, as a function of quantum statistics. I discuss the fundamental properties of quasiparticles in the different phases, and briefly suggest {\it gedanken\/} -- but not manifestly infeasible -- experiments to show up these properties.25 pages, 1 figure, PhyzzxCondensed MatterHigh Energy Physics - TheoryStatistical Transmutation and Phases of Two-Dimensional Quantum Mattertext