New Approach to Perturbation Theory
- 11 June 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 42 (24) , 1582-1585
- https://doi.org/10.1103/physrevlett.42.1582
Abstract
We present here a new approach to nonrelativistic perturbation theory. We show that in problems reducible to one dimension, the energy shifts and wave-function corrections, including corrections to the position of the nodes, to any order, can be expressed in quadrature in a hierarchy scheme. The second-order energy shift calculated is explicitly shown to be equivalent to that in the ordinary Rayleigh-Schrödinger theory.Keywords
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