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====== Computing Outer Products ======


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

**"Compute the outer product** $\vert +\rangle \langle +\vert$"**.**

**"Write down the projection operator for** $\vert +\rangle_{x}$ **in the z-basis in matrix and Bra-Ket notation. Then compute the outer product in the z-basis."**

===== Context =====

Oftentimes, students have been told that the outer product is a non-allowed matrix operation. Considering the outer product is essential for finding projection operators in quantum mechanical systems, these small white board questions are important for providing students practice in a new product. This is also a great activity for students to find the matrix representation of any bra-ket projection operators that have not yet been discovered. \\\\
This [[strategy:smallwhiteboard:|SWBQ]] sees possible inclusion in entry-level quantum mechanics lectures, particularly those that feature the varied ways to represent measurements mathematically. 

===== Wrap Up =====



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



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