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Lecture
Quantum Theory: Lorentz Transformation
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EM Field: Discrete Symmetries
Covers EM Field and Discrete Symmetries, emphasizing the importance of symmetries in quantum field theory.
Lorentz Transformation and Particle Representation
Explores Lorentz transformations, particle creation through momentum, and the Poincaré group.
Quantum Field Theory: Poincaré Group
Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.
Poincaré Irreps 2: Little Group and Induced Representation
Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.
Lorentz Transformations: Symmetries and Boosts
Explores Lorentz transformations, boosts, and symmetries in Newtonian mechanics.
Special and General Relativity
Introduces special and general relativity, Einstein equations, and gravitational dynamics.
Relativistic Charged Particle Dynamics
Covers the equation of motion for a relativistic charged particle and Lorentz transformations, along with tensors and electrodynamics.
Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Lorentz Transformations and Covariant Tensors
Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.
Vector Fields and Lorentz Tensors: Representation Theory
Covers the transformation properties of vector fields and their representation in Lorentz tensors.