Generalized Uncertainty Principle and Quantum Electrodynamics

Details Generalized Uncertainty Principle and Quantum Electrodynamics Generalized Uncertainty Principle and Quantum Electrodynamics

2003-03-17

arxiv.org/abs/gr-qc/0303061v1

Gen.Rel.Grav. 35 (2003) 1153-1160

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Acceptted in General Relativity and Gravitation

Scientific paper

In the present work the role that a generalized uncertainty principle could play in the quantization of the electromagnetic field is analyzed. It will be shown that we may speak of a Fock space, a result that implies that the concept of photon is properly defined. Nevertheless, in this new context the creation and annihilation operators become a function of the new term that modifies the Heisenberg algebra, and hence the Hamiltonian is not anymore diagonal in the occupation number representation. Additionally, we show the changes that the energy expectation value suffers as result of the presence of an extra term in the uncertainty principle. The existence of a deformed dispersion relation is also proved.

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