Precanonical Quantization and the Schroedinger Wave Functional

Details Precanonical Quantization and the Schroedinger Wave Functional Precanonical Quantization and the Schroedinger Wave Functional

2000-12-11

arxiv.org/abs/hep-th/0012084v2

Phys.Lett. A283 (2001) 25-36

Physics

High Energy Physics

High Energy Physics - Theory

16pp, LaTeX2e. v2: minor changes in the presentation, misprints in eqs. 4.21, 4.24 and unnumbered after eq. 4.8 fixed, sect. 4

Scientific paper

10.1016/S0375-9601(01)00225-0

A relation between the Schroedinger wave functional and the Clifford-valued wave function which appears in what we call precanonical quantization of fields and fulfills a Dirac-like generalized covariant Schroedinger equation on the space of field and space-time variables is discussed. The Schroedinger wave functional is argued to be the trace of the positive frequency part of the continual product over all spatial points of the values of the aforementioned wave function restricted to a Cauchy surface. The standard functional differential Schroedinger equation is derived as a consequence of the Dirac-like covariant Schroedinger equation.

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