From the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity

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dc.creatorKanatchikov, I. V.
dc.date1998-10-22
dc.date.accessioned2026-07-07T03:32:45Z
dc.date.available2026-07-07T03:32:45Z
dc.descriptionAn approach to quantization of fields and gravity based on the De Donder-Weyl covariant Hamiltonian formalism is outlined. It leads to a hypercomplex extension of quantum mechanics in which the algebra of complex numbers is replaced by the space-time Clifford algebra and all space-time variables enter on equal footing. A covariant hypercomplex analogue of the Schrödinger equation is formulated. Elements of quantization of General Relativity within the present framework are sketched.
dc.description10pp, LaTeX, uses sprocl.sty. To appear in the Proceedings of the International Seminar on Mathematical Cosmology, Potsdam, Mar-Apr 98, ed. H.-J. Schmidt and M. Rainer, World Scientific, Singapore 1998
dc.identifierhttps://arxiv.org/abs/gr-qc/9810076
dc.identifierhttp://arxiv.org/abs/gr-qc/9810076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36349
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFrom the DeDonder-Weyl Hamiltonian formalism to quantization of Gravity
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