QFT Lecture 8: Introduction to the Lorentz Transformation & Lorentz Invariance

Lecture 8 introduces the concept of Lorentz transformation and teaches you some important aspects, such as understanding the possible values of its determinant and you will learn about the proper orthocronous Lorentz transformations. I will also discuss the concept of Lorentz invariance, which will be key in the next lecture, when we discuss the covariance of the Dirac equation.

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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Discussing 3d Rotations
08:59 Introducing Lorentz Transformations
17:30 Finding the Transpose Lorentz Transformation
25:00 Checking that the Lorentz trafos. are orthogonal
31:30 Finding the infinitesimal transformation
35:25 Introducing Lorentz Invariance
44:09 Finding the determinant of the lorentz transformation
51:00 Explaining the different kind of Lorentz Transformations