Toward the Born-Weyl Quantization of Fields

Elements of the quantization in field theorybased on the covariant polymomentum Hamiltonianformalism, a possibility of which was originallydiscussed in 1934 by Born and Weyl, are developed. Theapproach is based on a recently proposed Poisson bracketon differential forms. A covariant analogue of theSchrodinger equation for a hypercomplex wave function isput forward. A possible relation to the functional Schrodinger picture in quantum field theory isoutlined.