The Volume Operator in Spherically Symmetric Quantum Geometry

Bojowald, Martin; Swiderski, Rafal

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The Volume Operator in Spherically Symmetric Quantum Geometry

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Bojowald, Martin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Swiderski, Rafal
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bojowald, M., & Swiderski, R. (2004). The Volume Operator in Spherically Symmetric Quantum Geometry. Classical and Quantum Gravity, 21, 4881-4900. Retrieved from http://www.iop.org/EJ/S/0/M8650/SZR29JnVu7XzDO57OSXXqg/article/0264-9381/21/21/009/cqg4_21_009.pdf.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-516F-1

Abstract

The spherically symmetric volume operator is discussed and all its eigenstates and eigenvalues are computed. Even though the operator is more complicated than its homogeneous analog, the spectra are related in the sense that the larger spherically symmetric volume spectrum adds fine structure to the homogeneous spectrum. The formulas of this paper complete the derivation of an explicit calculus for spherically symmetric models which is needed for future physical investigations.