Quantization: Topological Operators

Related lectures (29)

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Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

Covers the basics of linear mapping and coordinate systems.

Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.