Eigenvalues of the volume operator in loop quantum gravity

Details Eigenvalues of the volume operator in loop quantum gravity Eigenvalues of the volume operator in loop quantum gravity

2005-09-14

arxiv.org/abs/gr-qc/0509049v2

Class.Quant.Grav. 23 (2006) 617-626

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, version accepted in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/23/3/005

We present a simple method to calculate certain sums of the eigenvalues of
the volume operator in loop quantum gravity. We derive the asymptotic
distribution of the eigenvalues in the classical limit of very large spins
which turns out to be of a very simple form. The results can be useful for
example in the statistical approach to quantum gravity.

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