On the precanonical structure of the Schr\"odinger wave functional in curved space-time
General Relativity and Quantum Cosmology
2019-12-17 v1
Abstract
The functional Schr\"odinger equation in curved space-time is derived from the manifestly covariant precanonical Schr\"odinger equation. The Schr\"odinger wave functional is expressed as the trace of the multidimensional product integral of precanonical wave function restricted to a field configuration. The functional Schr\"odinger representation of QFT in curved space-time appears as a singular limiting case of a formulation based on precanonical quantization, which leads to a hypercomplex generalization of quantum formalism in field theory.
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Cite
@article{arxiv.1912.07401,
title = {On the precanonical structure of the Schr\"odinger wave functional in curved space-time},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:1912.07401},
year = {2019}
}
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8 pages