2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51073The prequantization map for a Poisson-Gerstenhaber algebra of dynamical variables represented by differential forms within the polysymplectic formulation of the De Donder--Weyl covariant Hamiltonian field theory is presented and the corresponding prequantum Schroedinger equation for a non-homogeneous form valued wave function is derived. This is the first step toward understanding the procedures of covariant precanonical field quantization from the point of view of geometric quantization.12 pages, LaTeX. V2: minor corrections, important Note added in proofs, references detailedHigh Energy Physics - TheoryMathematical PhysicsSymplectic GeometryQuantum Physicstext