Projection operators of energy and spin: Relativistic Quantum Mechanics #8.1 | ZC OCW

Projection operators will be constructed which projects onto the positive and negative energy solutions. Then, the same will be done for spin.

Timeline:
00:00 Introduction & Course Details
00:13 Recap on the previous lectures
13:00 Constructing projection operators from any operator whose square is the Identity
25:00 Constructing Energy projection operators
38:00 Constructing Spin projection operators
52:30 Comment on the reducibility of Dirac’s representation of spinors
55:30 Grading the Hilbert Space of the solutions of Dirac Equation

About this course (Relativistic Quantum Mechanics):
Instructor: Dr. Ali Nassar, assistant professor of Physics of Earth and Universe (PEU) program at the University of Science and Technology in Zewail City, Egypt.

About ZC OCW:
Zewail City OpenCourseWare (ZC OCW) is a project that aims to enable public access to university-level courses delivered at the University of Science and Technology in Zewail City, Egypt.