General theory of effective Hamiltonians

1 July 1981

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 24 (1) , 4-9
https://doi.org/10.1103/physreva.24.4

Abstract

All effective Hamiltonians fulfilling three very general conditions are derived. It is shown that they all stem both from a transformation operator implicitly defined by a nonlinear equation, and an arbitrary "diagonal" and nonsingular operator. The canonical case is discussed, as well as the particular restrictions that lead to the previous schemes of Bloch, des Cloizeaux, and Jørgensen.

Keywords

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