In his "an introduction to quantum field theory", problem 5.4 (c), he describes a bound state of positronium as [tex]|B(k)\rangle=\sqrt{2M}\int{\frac{d^{3}p}{(2\pi)^{3}}\psi_{i}(p)a^{\dagger}_{p+\frac{k}{2}}\Sigma^{i}b^{\dagger}_{-p+\frac{k}{2}}|0\rangle}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

where [itex]\psi_{i}(p)[/itex] are the p-orbtal wavefunctions in momentum space(i=1,2,3), [itex]a^{\dagger}[/itex]and [itex]b^{\dagger}[/itex] are electron and positron creation operator, [itex]\Sigma^{i}[/itex] is some 2 by 2 matrix. I don't understand where this [itex]\Sigma^{i}[/itex] comes from. LHS of the equation is just a ket, in this case shouldn't RHS be a superposition of kets? What should I make of [itex]\Sigma^{i}[/itex]?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Having difficulty comprehending a problem in Peskin's text

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**