Quantum Field Theory: Exo Session 4

Related lectures (32)

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Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

Introduces linear and bounded operators, compact operators, and the Banach space.

Covers the duality principle in linear algebra and its implications in mathematics.

Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.

Explores different notions of function equality, linear functionals, operations on distributions, and the advantages of working with Schwartz' space.

Covers the definitions and properties of dual spaces and linear operators.

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Covers the norm of a matrix, operator, singular values, and unitary matrices in linear algebra.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.