Quantum cosmology of scalar-tensor theories and self-adjointness

被引：5

作者：

Almeida, Carla R. ^{[1
]}

Batista, Antonio B. ^{[1
]}

Fabris, Julio C. ^{[1
,2
]}

Moniz, Paulo V. ^{[3
,4
]}

机构：

[1] Univ Fed Espirito Santo, BR-29075910 Vitoria, ES, Brazil

[2] Natl Res Nucl Univ MEPhI, Kashirskoe Sh 31, Moscow 115409, Russia

[3] Univ Beira Interior, Dept Fis, P-6200 Covilha, Portugal

[4] Univ Beira Interior, CMA, P-6200 Covilha, Portugal

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 04期

关键词：

D O I：

10.1063/1.4979537

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the problem of the self-adjointness for the case of a quantum mini-superspace Hamiltonian retrieved from a Brans-Dicke action is investigated. Our matter content is presented in terms of a perfect fluid, onto which Schutz's formalism will be applied. We use the von Neumann theorem and the similarity with the Laplacian operator in one of the variables to determine the cases where the Hamiltonian is self-adjoint and if it admits self-adjoint extensions. For the latter, we study which extension is physically more suitable. Published by AIP Publishing.

引用

页数：13

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