Bulg. J. Phys. vol.25 no.1-2 (1998), pp. 020-023


Application of the Bogolyubov Transformation to Anharmonic Oscillators

F.M. Fernández, E.A. Castro
QUJNOR, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Calle 47 y 115, Casilla de Correo 962, 1900 La Plata, Argentina
Abstract. We discuss the application of the Bogolyubov transformation to an? harmonic oscillators and show that an iterative procedure recently proposed to eliminate part of the off-diagonal terms in the transformed Hamiltonian operator is unnecessary. If one transforms the whole operator instead of a part of it, then the final result is obtained directly.

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