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| 1 | New results referred to the fundamental theory of synchrotron radiation (SR) are to be presented. We thoroughly analyze the relation between the amount of radiation emitted by a scalar particle at the transitions to the rst excited state and to the ground state. Generalizing basic expressions we can follow the evolution of spectral maximum. It turns out there is a condition for radiation maximum to stay at highest harmonic. Keywords: synchrotron radiation; spectral maximum; quantum transitions | 898 | ||||