The trion as an exciton interacting with a carrier

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The X- trion is essentially an electron bound to an exciton. However, due to the composite nature of the exciton, there is no way to write an exciton-electron interaction potential. We can overcome this difficulty by using a commutation technique similar to the one we introduced for excitons interacting with excitons, which allows to take exactly into account the close-to-boson character of the excitons. From it, we can obtain the X- trion creation operator in terms of exciton and electron. We can also derive the X- trion ladder diagram between an exciton and an electron. These are the basic tools for future works on many-body effects involving trions.