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Physical Review A

Comment on ‘‘Iterative Bogoliubov transformations and anharmonic oscillators’’

Francisco Marcelo Fernández, Eduardo Alberto Castro

Published Oct 1, 1993• 4 citations
Publisher

Abstract

We discuss a recently proposed method [R. J\'auregui and J. R\'ecamier, Phys. Rev. A 46, 2240 (1992)] based on the application of iterative Bogoliubov transformations to anharmonic oscillators and show that, if the algorithm converges, one easily obtains the final result directly in one step. We prove that the Bogoliubov transformation can be written in terms of scaling and translation parameters and present exact results for the coefficients of the Bogoliubov transformation for some selected examples.

DOI
10.1103/physreva.48.3398

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We discuss a recently proposed method [R. J'auregui and J. R'ecamier, Phys. Rev. A 46, 2240 (1992)] based on the application of iterative Bogoliubov transformations to anharmonic oscillators and show that, if the algorithm converges, one easily obtains the final result directly in one step. We prove that the Bogoliubov transformation can be written in terms of scaling and translation parameters and present exact results for the coefficients of the Bogoliubov transformation for some selected examples.