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Effective Hamiltonian for Isotropic Loop Quantum Cosmology

Ghanashyam Date·Golam Mortuza Hossain
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Abstract

For a class of solutions of the fundamental difference equation of isotropic loop quantum cosmology, the difference equation can be replaced by a differential equation valid for {\em all} values of the triad variable. The differential equation admits a `unique' non-singular continuation through vanishing triad. A WKB approximation for the solutions leads to an effective continuum Hamiltonian. The effective dynamics is also non-singular (no big bang singularity) and approximates the classical dynamics for large volumes. The effective evolution is thus a more reliable model for further phenomenological implications of the small volume effects.

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Ghanashyam Date, Golam Mortuza Hossain. 2004-10-04. Effective Hamiltonian for Isotropic Loop Quantum Cosmology. https://doi.org/10.1088/0264-9381%2F21%2F21%2F012

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