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Variational solution of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math>-matrix integral equation
We present a variational solution of the $T$-matrix integral equation within a local approximation. This solution provides a simple form for the $T$ matrix similar to Hubbard models but with the local interaction depending on momentum and frequency. By examining the ladder diagrams for irreducible polarizability, a connection between this …