1303.4832 (Abhishek Majhi)

A Model Hamiltonian for Quantum Isolated Horizon    [PDF]

Abhishek Majhi

With a view to clarify some apparent inconsistencies in the classical and quantum theories of Isolated Horizon and motivated by the structure of the area operator in loop quantum gravity, a model Hamiltonian operator for the quantum Isolated Horizon is proposed. Known results of Isolated Horizon thermodynamics are used as inputs to fix the model. The proposal of the model is based on the facts that the Hamiltonian operator and the area operator associated with the quantum Isolated Horizon should have simultaneous eigenstates and in the correspondence limit one must obtain that the area of a classical Isolated Horizon is constant.

View original: http://arxiv.org/abs/1303.4832