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Quantum Field Theory: SU(2) Symmetry and Noether's Current
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Quantum Field Theory: Conservation Laws
Explores deriving conserved currents in classical and quantum field theory, emphasizing symmetries and equations of motion.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Quantum Field Theory: Noether Currents and Lorentz Symmetry
Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Quantum Field Theory: Path Integrals
Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.
Quantum Field Theory: Heisenberg Representation and Noether Charges
Explores the Heisenberg representation of a free massive real scalar field and the time independence of Noether charges.
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Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
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Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Classical Field Theory: Lagrangian and Hamiltonian Formulation
Explores classical field theory, focusing on Lagrangian formulation and the Euler-Lagrange equations, emphasizing the property of locality in spacetime.
Discrete Symmetries Introduction
Introduces the concept of discrete symmetries in Quantum Field Theory and their impact on particles and anti-particles.