Don't blindly apply, UNDERSTAND Bra Ket Notation with this! | Quantum Theory

This is the fourth video in my Quantum Theory playlist. I give a detailed explanation of Bra Ket Notation (aka Dirac Notation) and highlight why it works due to the Riesz Representation Theorem. 0:00 Introduction 0:36 Inner Products vs Linear Functionals 1:57 Dual Space vs Hilbert Space 2:26 Riesz Representation Theorem explained 3:36 Bra Ket Notation explained 6:23 Example of the usefulness of Bra Ket Notation 7:55 Conclusion Related Videos: The Stern-Gerlach Experiment: https://youtu.be/wmAu4Vpdn_c Why John Bell Deserved a Nobel Prize: https://youtu.be/ohT_U7M6Ed0 Schrödinger's Uncertainty Principle & its Relation to Heisenberg's: https://youtu.be/95GxbhTeGrU Maccone-Pati Uncertainty Relations: https://youtu.be/awBcNHFkVQc Quantum Theory Playlist: https://www.youtube.com/playlist?list=PLVvnOdsCze6HnYJfCE9v1PHq1FfYTX99X If you have any questions or suggestions for future videos, please leave a comment here or shoot me an email at [email protected].