Towards the Born-Weyl Quantization of Fields

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dc.creatorKanatchikov, Igor V.
dc.date1997-12-31
dc.date.accessioned2026-07-07T06:36:31Z
dc.date.available2026-07-07T06:36:31Z
dc.descriptionElements of the quantization in field theory based on the covariant polymomentum Hamiltonian formalism (the De Donder-Weyl theory), a possibility of which was originally discussed in 1934 by Born and Weyl, are developed. The approach is based on a recently proposed graded Poisson bracket on differential forms in field theory (see e.g. hep-th/9709229). A covariant analogue of the Schrödinger equation for a hypercomplex wave function on the space of field and space-time variables is put forward. It is shown to lead to the De Donder-Weyl Hamilton-Jacobi equations in quasiclassical limit. A possible relation to the functional Schrödinger picture in quantum field theory is outlined.
dc.description12pp, LaTeX2e. Talk at "Quantum Structures-96", Berlin, Aug. 1996. To appear in Int. J. Theor. Phys. (1998), January
dc.identifierhttps://arxiv.org/abs/quant-ph/9712058
dc.identifierhttp://arxiv.org/abs/quant-ph/9712058
dc.identifierInt.J.Theor.Phys. 37 (1998) 333-342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100106
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTowards the Born-Weyl Quantization of Fields
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