On the precanonical structure of the Schr\"odinger wave functional in curved space-time

I. V. Kanatchikov

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arXiv · 1912.07401

On the precanonical structure of the Schr\"odinger wave functional in curved space-time

I. V. Kanatchikov

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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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I. V. Kanatchikov. 2019-12-16. On the precanonical structure of the Schr\"odinger wave functional in curved space-time. https://arxiv.org/abs/1912.07401

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