{{page>wiki:headers:hheader}}

%% Instructions:
%% 1. Replace "The Question" with the question.
%% 2. Change qmswzzz everywhere (2x) to the basename of this file.
%% 3. Upload the PDF and PPT versions of the question.
%%    (Make sure to use the same basename.)
%% 4. Change xx in the 2-letter acronym in the course footer to reference
%%    the correct course.
%% 5. Delete these instructions when done!


====== Computing Inner Products ======


===== The Prompt =====

**"Compute the inner product** $_{x}\langle -\vert +\rangle_{x}$**."**

===== Context =====

This [[strategy:smallwhiteboard:|SWBQ]] could be used in two different ways.  For students that are in the process of finding defining $\vert+ \rangle_{x}$ and $\vert- \rangle_{x}$ in terms of the $z$-basis, this small white board question can be given to the students to help them find the relative phase between the $\vert -\rangle_z$ components of the two states. FIXME (See section ?.? in McIntyre).  If students have already found what $\vert+ \rangle_{x}$ and $\vert- \rangle_{x}$ are in terms of the $z$-basis, this SWBQ could also be used as a quick check to see if they know that the spin-up and spin-down states in the x-direction are orthogonal.

===== Wrap Up =====
Some students may quickly recognize the orthogonality of the given states, while others may be unsure how to progress. Inviting the latter students to change $\vert+ \rangle_{x}$ and $\vert- \rangle_{x}$ to their corresponding representations in the $z$-basis may help them justify why the given bra and ket must be orthogonal. 

{{swbq:spsw:spswdownupxcompute.ppt|Powerpoint slide}}
\\\\
{{swbq:spsw:spswdownupxcompute.pdf|PDF slide}}

 
{{page>wiki:footers:courses:spfooter}}

{{page>wiki:footers:topics:qmfooter}}