On the validity of various approximations for the Bethe-Salpeter equation and their WKB quantization
- 15 May 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 29 (10) , 2275-2281
- https://doi.org/10.1103/physrevd.29.2275
Abstract
The validity of the instantaneous approximation for the Bethe-Salpeter equation is questioned within the framework of the simple scalar-scalar model of Cutkosky. Detailed numerous results for various approximations are compared to the exact ones. WKB quantization is applied to these relativistic approximations. An unexpected question arises: is the currently used Bethe-Salpeter equation (i.e., the ladder approximation) well suited to describe two interacting relativistic particles?Keywords
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