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# Introduction to Bra-Ket Notation

**Keywords:**Middle-division, quantum mechanics, linear algebra, bra-ket notation

### Highlights of the activity

- This small group activity is designed to introduce students to the basics of bra-ket notation.
- Students are given a handout that introduces them to the use of bra-ket notation and how it relates to other vector representations.
- The wrap-up discussion covers how to draw a 2-dimensional complex vector. Students struggle with this idea in QM since representing a 2D complex vector requires a 4D space. We reinforce the idea that complex vectors work just like real vectors as long as you remember to take the complex conjugate of elements of Bra's.

### Reasons to spend class time on the activity

Learning how to use a new notation is problematic, so it is important to provide opportunities for students to explicitly connect the notation that they are learning to one(s) they are familiar with.