Abstract
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.
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Kanatchikov, I.V. Toward the Born-Weyl Quantization of Fields. International Journal of Theoretical Physics 37, 333–342 (1998). https://doi.org/10.1023/A:1026679104397
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DOI: https://doi.org/10.1023/A:1026679104397