149 citations · 616 across the 35 of their papers we have counts for
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Schrödinger Functional of a Quantum Scalar Field in Static Space-Times from Precanonical Quantization
I. V. Kanatchikov
The functional Schrödinger representation of a scalar field on an -dimensional static space-time background is argued to be a singular limiting case of the hypercomplex quantum…
Schrödinger wave functional in quantum Yang-Mills theory from precanonical quantization
Igor V. Kanatchikov
A relation between the precanonical quantization of pure Yang-Mills fields and the functional Schrödinger representation in the temporal gauge is discussed. It is shown that the la…
On the spectrum of DW Hamiltonian of quantum SU(2) gauge field
I. V. Kanatchikov
The spectrum of masses of the colorless (color neutral) states of the DW (De Donder-Weyl) Hamiltonian operator of quantum SU(2) Yang-Mills field theory on obtained v…
Ehrenfest Theorem in Precanonical Quantization
I. V. Kanatchikov
We discuss the precanonical quantization of fields which is based on the De Donder--Weyl (DW) Hamiltonian formulation and treats the space and time variables on an equal footing. C…
On the precanonical structure of the Schrödinger wave functional
I. V. Kanatchikov
We show that the Schrödinger wave functional may be obtained as the product integral of precanonical wave functions on the space of field and space-time variables. The functional d…
Precanonical quantization and the Schrödinger wave functional revisited
I. V. Kanatchikov
We address the issue of the relation between the canonical functional Schrödinger representation in quantum field theory and the approach of precanonical field quantization propose…