Question

Please provide a full explanation.

vector notations to answer this question. For a general wave function ), the probability of measuring an observable Q and finding the eigenvalue qn is Ken|4)|?, where enis the eigenvector. The Moodle page has the PowerPoint of exercises we went through in class and might be helpful for answering this question. An operator Â, representing observable A, has two normalized eigenstates U and U2, with eigenvalues a, and a2, respectively. Operator B, representing observable B, has two normalized eigenstates 0 and 02, with eigenvalues bi and b2. The eigenstates are related by 41 = (301 +402)/5, 42 = (401 – 302)/5. (a) Let's choose our basis using the eigenvectors for observable B. That is $1 = () and $2 = G). Write 41 and 42 in vector notation.

Use dirac and vector notation. This is Griffiths 2nd edition 3.27