2. Consider the state vectors representing the kaon and anti-kaon mesons, koo, the operator Ĉ which turns a particle into its anti-particle and the operator Â which defines the parity of the kaon and is odd for both matter and anti-matter, i.e. Î¥=-Y (i) Show that Ko Ko, are eigenfunction of Â but not eigenfunctions of Ĉ. (ii) Find the eigenfunctions of Ĉ. Find the eigenfunctions of the combined operators, ĈÊ. (iii) In the weak decays of kaons the operation CP is almost exactly conserved.. The eigenfunction with the eigenvalue -1 is long-lived; that with eigenvalue +1 is short-lived. Show that if you start with a pure KO matter state, it will evolve with time and if you wait long enough you will have 50% matter and 50% antimatter kaons.

2. Consider the state vectors representing the kaon and anti-kaon mesons, koo, the operator Ĉ which turns a particle into its anti-particle and the operator Â which defines the parity of the kaon and is odd for both matter and anti-matter, i.e. Î¥=-Y (i) Show that Ko Ko, are eigenfunction of Â but not eigenfunctions of Ĉ. (ii) Find the eigenfunctions of Ĉ. Find the eigenfunctions of the combined operators, ĈÊ. (iii) In the weak decays of kaons the operation CP is almost exactly conserved.. The eigenfunction with the eigenvalue -1 is long-lived; that with eigenvalue +1 is short-lived. Show that if you start with a pure KO matter state, it will evolve with time and if you wait long enough you will have 50% matter and 50% antimatter kaons.