Lectures related to Jaynes-Cummings Hamiltonian: Diagonalization and Rabi Oscillations

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

Linear Algebra: Organization and Exercises

Covers the organization of linear algebra course and exercises for civil engineering and environmental sciences students.

Diagonalization of Linear Transformations

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Matrix Similarity and Diagonalization

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.

Eigenvalues and Diagonalization

Explores eigenvalues, diagonalization, and matrix similarity, showcasing their importance and applications.

Diagonalizable Matrices: Criteria and Applications

Explores the criteria for diagonalizing matrices and their practical applications.

Quantum Physics I

Introduces key quantum physics concepts such as commutators, observables, and the Schrödinger equation, emphasizing the importance of diagonalization and energy eigenvalues.