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Abstract
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In this paper, we introduce photon-added and photon-subtracted “semi”-coherent field states.
These states are constructed via the boson operator actions on the semi-coherent states (P.M. Mathews,
K. Eswaran, Nuovo Cimento B 17, 332 (1973)). These are not a family of the f-deformed coherent states,
however they can be considered as superpositions of two distinguishable components of the photon-added
and photon-depleted coherent states. The physical properties of these states, like the sub-Poissonian statistics
and the normal-order squeezing effect are discussed analytically. An exact analytic expression for their
optical tomogram is derived in terms of the Hermite and Laguerre polynomials. Finally, we propose a
scheme to generate the photon-add semi-coherent states.
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