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Related lectures (19)
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Group representations constructions
Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
Vector Representation of Signals
Explores the vector representation of signals, orthogonal functions, and Fourier series.
Circle Orthogonal & Poincaré Disk
Covers circle orthogonal and Poincaré disk concepts in geometry.
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.
Balanced Realization: SISO Case
Covers the concept of balanced realization in the SISO case, focusing on system observability and controllability.
Lie Algebra: Bilinearity and Jacobi Identity
Covers Lie algebra, bilinearity, Jacobi identity, and Ado's theorem.
Generators of Groups
Explains the concept of generators of groups and their mathematical properties.
Group Theory & Quantum Mechanics
Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.
Quantum Physics I
Explores quantum state evolution, unitary operators, Heisenberg representation, spin precession, and observable averages.
