Ambiguity of the mathematical model of the Lemaître primordial atom

Abstract

It is shown that the ambiguity of canonical quantization of the Lemaître primordial atom due to a singularity in a kinetic part of the Hamiltonian and to a fact that the Hubble momentum operator does not commute with the spatial coordinate of superspace-time is not significant, nor is commutativity of the variation operation and procedure of time substitution. The fact that the quantum theory of the Lemaître primordial atom is a one-particle theory is substantiated within the quasi-classical theory.

Original language	English
Pages (from-to)	920-929
Number of pages	10
Journal	Russian Physics Journal
Volume	52
Issue number	9
DOIs	https://doi.org/10.1007/s11182-010-9318-0
Publication status	Published - 2009

Keywords

Quasi-classical approximation
Superspace-time
The Lemaître primordial atom
The Weyl ordering rule

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1007/s11182-010-9318-0

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title = "Ambiguity of the mathematical model of the Lema{\^i}tre primordial atom",

abstract = "It is shown that the ambiguity of canonical quantization of the Lema{\^i}tre primordial atom due to a singularity in a kinetic part of the Hamiltonian and to a fact that the Hubble momentum operator does not commute with the spatial coordinate of superspace-time is not significant, nor is commutativity of the variation operation and procedure of time substitution. The fact that the quantum theory of the Lema{\^i}tre primordial atom is a one-particle theory is substantiated within the quasi-classical theory.",

keywords = "Quasi-classical approximation, Superspace-time, The Lema{\^i}tre primordial atom, The Weyl ordering rule",

author = "Lasukov, {V. V.}",

year = "2009",

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AB - It is shown that the ambiguity of canonical quantization of the Lemaître primordial atom due to a singularity in a kinetic part of the Hamiltonian and to a fact that the Hubble momentum operator does not commute with the spatial coordinate of superspace-time is not significant, nor is commutativity of the variation operation and procedure of time substitution. The fact that the quantum theory of the Lemaître primordial atom is a one-particle theory is substantiated within the quasi-classical theory.

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KW - The Weyl ordering rule

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