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A PERTURBATIVE APPROACH TO THE RELATIVISTIC HARMONIC OSCILLATOR AND UNITARITY
A quantum realization of the relativistic Harmonic oscillator is achieved in terms of the spatial variable x and [Formula: see text] (the minimal canonical representation). The Hamiltonian operator is found (at lower order) by using a perturbative expansion in the constant c -1 . Unlike the Foldy–Wouthuysen version of the …