Advanced Quantum Mechanics Schwabl · Problem 6.14

The Coulomb Potential

Physics — Quantum Mechanics · projection-operators-dirac

Problem

Starting from Λ+(k)=∑r=1,2ur(k)⊗uˉr(k) ,Λ−(k)=−∑r=1,2vr(k)⊗vˉr(k) ,\Lambda_+(k) = \sum_{r=1,2} u_r(k) \otimes \bar{u}_r(k)\,, \qquad \Lambda_-(k) = -\sum_{r=1,2} v_r(k) \otimes \bar{v}_r(k)\,, prove the validity of the representations for Λ±(k)\Lambda_\pm(k) given in (6.3.22).

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