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On the Birman-Schwinger principle applied to (-Delta + m2)(1/2) - m

Marco Maceda

math-pharXiv:math-ph/0611011

Abstract

The condition for E = 0 to be an eigenvalue of the operator (-Delta + m2)(1/2) -m + l V is obtained through the use of the Birman-Schwinger principle. By setting E=-a2 and using the analyticity of the corresponding Birman-Schwinger kernel, the series development of (l(-1))(a) is obtained up to second order on a.

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