### 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 |
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Pages (from-to) | 920-929 |

Number of pages | 10 |

Journal | Russian Physics Journal |

Volume | 52 |

Issue number | 9 |

DOIs | |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Ambiguity of the mathematical model of the Lemaître primordial atom.** / Lasukov, V. V.

Research output: Contribution to journal › Article

*Russian Physics Journal*, vol. 52, no. 9, pp. 920-929. https://doi.org/10.1007/s11182-010-9318-0

}

TY - JOUR

T1 - Ambiguity of the mathematical model of the Lemaître primordial atom

AU - Lasukov, V. V.

PY - 2009

Y1 - 2009

N2 - 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.

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.

KW - Quasi-classical approximation

KW - Superspace-time

KW - The Lemaître primordial atom

KW - The Weyl ordering rule

UR - http://www.scopus.com/inward/record.url?scp=77949773676&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77949773676&partnerID=8YFLogxK

U2 - 10.1007/s11182-010-9318-0

DO - 10.1007/s11182-010-9318-0

M3 - Article

AN - SCOPUS:77949773676

VL - 52

SP - 920

EP - 929

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 9

ER -