Lecture
Linear Algebra: Quantum Mechanics
Related lectures (43)
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Linear Operators: Basis Transformation and Eigenvalues
Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.
Matrix Similarity and Diagonalization
Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Orthogonal Complement and Projection Theorems
Explores orthogonal complement and projection theorems in vector spaces.
Linear Algebra Basics
Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Linear Algebra: Quantum Mechanics
Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Diagonalization of Matrices
Explores the diagonalization of matrices through eigenvectors and eigenvalues.
Quantum Entanglement
Delves into quantum entanglement, exploring entangled particles' state, evolution, and measurement.