Quantum cosmology in Ashtekar variables with non-minimally coupled scalar-tensor theory

被引：0

作者：

Chakraborty, S ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2002年 / 58卷 / 01期

关键词：

quantum cosmology; non-minimally coupled; Bohmian trajectories;

D O I：

10.1007/s12043-002-0001-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using non-minimally coupled scalar-tensor theory in homogeneous and isotropic cosmological model, quantum cosmology has been developed for Ashtekar variables. The wave function has been evaluated by solving the Wheeler-Dewitt (WD) equation and also using path integral formulation. Semi-classical limit using WKB approximation has also been discussed. Finally, the quantum Bohmian trajectories has been studied in detail.

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页码：1 / 12

页数：12

相关论文

共 18 条

[1] QUANTUM-GRAVITY - AN INTRODUCTION TO SOME RECENT RESULTS [J].

ALVAREZ, E .

REVIEWS OF MODERN PHYSICS, 1989, 61 (03) :561-604

[2] NEW VARIABLES FOR CLASSICAL AND QUANTUM-GRAVITY [J].

ASHTEKAR, A .

PHYSICAL REVIEW LETTERS, 1986, 57 (18) :2244-2247

[3]

Ashtekar Abhay., 1991, LECT NONPERTURBATIVE

[4] MACHS PRINCIPLE AND A RELATIVISTIC THEORY OF GRAVITATION [J].

BRANS, C ;

DICKE, RH .

PHYSICAL REVIEW, 1961, 124 (03) :925-&

[5] STEEPEST-DESCENT CONTOURS IN A KANTOWSKI-SACHS MICROSUPERSPACE MODEL [J].

CHAKRABORTY, S .

PHYSICAL REVIEW D, 1990, 42 (08) :2924-2926

[6] The wave function of the universe in new variables [J].

Chakraborty, S .

GENERAL RELATIVITY AND GRAVITATION, 1997, 29 (09) :1085-1093

[7] A study of Kantowski-Sachs model in Ashtekar variables [J].

Chakraborty, S ;

Chakravarty, N .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1998, 13 (28) :4931-4937

[8] Singularities and the classical limit in quantum cosmology with scalar fields [J].

Colistete, R ;

Fabris, JC ;

Pinto-Neto, N .

PHYSICAL REVIEW D, 1998, 57 (08) :4707-4717

[9] QUANTUM THEORY OF GRAVITY .I. CANONICAL THEORY [J].

DEWITT, BS .

PHYSICAL REVIEW, 1967, 160 (05) :1113-&

[10] Quantum cosmology in scalar-tensor theories with non-minimal coupling [J].

Fabris, JC ;

Pinto-Neto, N ;

Velasco, AF .

CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (12) :3807-3822