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

Physics – Mathematical Physics

Scientific paper

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revised version published in JMP, corrected typos

Scientific paper

10.1063/1.2179049

The condition for E = 0 to be an eigenvalue of the operator (-Delta +
m^2)^(1/2) -m + l V is obtained through the use of the Birman-Schwinger
principle. By setting E=-a^2 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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