Inner Products | Pivotal Math of Quantum Mechanics | Quantum Theory

This is the third video in my Quantum Theory playlist. I explain what the inner product is in the context of Quantum Mechanics. I do this by reviewing what the dot product is and showing how the inner product is a generalization of it.

0:00 Introduction
0:49 Review of the Dot Product
1:05 Algebraic Definition of the Dot Product
1:24 Geometric Definition of the Dot Product
2:24 Relation between Dot Product and Angles/Lengths of Vectors
3:09 Motivation of Inner Product in Quantum Mechanics
4:57 The 4 Rules an Inner Product Must Satisfy (Definition)
6:33 Conclusion

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If you have any questions or suggestions for future videos, please leave a comment here or shoot me an email at abidebyreason@gmail.com.