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Hierarchy of Self-Consistent Approximate Methods and the Parquet ...

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scattering channels<br />

p-h horizontal channel<br />

3<br />

P<br />

1<br />

4<br />

initial<br />

F ph<br />

h<br />

H<br />

final<br />

2<br />

|3, 4 >→ |1, 2 ><br />

analogous to <strong>the</strong> way to<br />

arrange small pieces <strong>of</strong> parquet<br />

3 1<br />

P<br />

4<br />

F ph v<br />

H<br />

2<br />

|3, 1 >→ |4, 2 ><br />

p-h vertical channel<br />

initial<br />

final<br />

3<br />

P<br />

1<br />

4<br />

F pp<br />

P<br />

p-p channel<br />

2<br />

<strong>Hierarchy</strong> <strong>of</strong> <strong>Self</strong>-<strong>Consistent</strong> <strong>Approximate</strong> <strong>Methods</strong> <strong>and</strong> <strong>the</strong> <strong>Parquet</strong> Formalism 12

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