Number operator

Number operator

Quantum Theory of Radiation

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Published in Pradip Narayan Ghosh, Laser Physics and Spectroscopy, 2018

Pradip Narayan Ghosh

From the theory of harmonic oscillator, the eigenvalues of the number operator are discrete integers. () N|n〉=n|n〉,

London-modified coherent states: statistical properties and interaction with a two-level atom

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Published in Journal of Modern Optics, 2021

H. M. Moya-Cessa, Julio Guerrero

First, we note that the normalization (4) implies the interesting identity where we have used some techniques introduced by Dattoli [32,33], so we may write it as Next, we rewrite (3) in the form so that we may relate the London coherent states (from Perelomov definition) to the modified London coherent states (from the resolution of the identity) as with , the number operator and a and the annihilation and creation operators of the harmonic oscillator.

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Quantum Theory of Radiation

London-modified coherent states: statistical properties and interaction with a two-level atom