Volume and quantizations

被引：73

作者：

Lewandowski, J

机构：

[1] Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, 00-681 Warszawa

来源：

CLASSICAL AND QUANTUM GRAVITY | 1997年 / 14卷 / 01期

关键词：

D O I：

10.1088/0264-9381/14/1/010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The differential structure of the Ashtekar-Isham quantum configuration space of canonical gravity allows the expression of the operators, representing various geometrical objects, by compact analytic formulae. In this paper such a formula is presented for the Rovelli-Smolin volume operator. This operator is compared with the quantum volume defined by Ashtekar and Lewandowski and a difference is indicated.

引用

收藏

页码：71 / 76

页数：6

相关论文

共 26 条

[11] Spin networks in Gauge theory [J].

Baez, JC .

ADVANCES IN MATHEMATICS, 1996, 117 (02) :253-272

[12] GENERALIZED MEASURES IN GAUGE-THEORY [J].

BAEZ, JC .

LETTERS IN MATHEMATICAL PHYSICS, 1994, 31 (03) :213-223

[13]

BAEZ JC, 1996, INTERFACE KNOTS PHYS

[14] REAL ASHTEKAR VARIABLES FOR LORENTZIAN SIGNATURE SPACE-TIMES [J].

BARBERO, JF .

PHYSICAL REVIEW D, 1995, 51 (10) :5507-5510

[15] Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity [J].

DePietri, R ;

Rovelli, C .

PHYSICAL REVIEW D, 1996, 54 (04) :2664-2690

[16]

LEWANDOWSKI J, 1995, WORKSH CAN QUANT GRA

[17]

LEWANDOWSKI J, 1995, COHERENT STATE TRANS

[18] VOLUME OPERATOR IN DISCRETIZED QUANTUM-GRAVITY [J].

LOLL, R .

PHYSICAL REVIEW LETTERS, 1995, 75 (17) :3048-3051

[19] ON THE SUPPORT OF THE ASHTEKAR-LEWANDOWSKI MEASURE [J].

MAROLF, D ;

MOURAO, JM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 170 (03) :583-605

[20] SPIN NETWORKS AND QUANTUM-GRAVITY [J].

ROVELLI, C ;

SMOLIN, L .

PHYSICAL REVIEW D, 1995, 52 (10) :5743-5759