Instructor: Prof. Apoorva D. Patel, Department of Physics, IIT Bangalore.
This course covers topics on relativistic quantum mechanics: Dirac and Klein-Gordon equations, Lorentz and Poincare groups, Fundamental processes of Quantum Electrodynamics.
This is a course on relativistic quantum mechanics. Relativity, specifically special relativity, and quantum mechanics have been two very highly successful theories of our twentieth century. And what this subject amounts to is combining the two theories in a very successful manner and working out the predictions. Relativity essentially follows from the property that speed of light in vacuum is an invariant quantity. And mathematically, that is extended to the principle of the Lorentz transformations. Quantum mechanics tells that nature is discrete at a small scale and its formulation is based on unitary evolution of quantities known as wave functions or states. These two theories have been successful on their own. Relativistic quantum mechanics is just on the border line of merging relativity and quantum mechanics, and it offers many consequences as a result. This course will explore those consequences.