Lectures related to Linear Algebra: Quantum Mechanics

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

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

Covers the application of linear algebra concepts to Quantum Mechanics, including spectral theorem and Brillouin zone.

Explores the matrix representation of operators and basis transformation in linear algebra.

Explores vector spaces, linear transformations, matrices, eigenvalues, inner products, and operators.

Explains the postulates of quantum mechanics and the representation of observables by operators.

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

Covers fundamental concepts in quantum mechanics, including vector spaces, superposition, observables, and inner product.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Covers the axioms of quantum mechanics and the measurement of quantities in a quantum system.

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

Explores the postulates of Quantum Mechanics, focusing on states, time evolution, and measurement.

Covers the basics of linear mapping and coordinate systems.

Offers a crash course on quantum mechanics, covering vector spaces, superposition, observables, and self-adjoint operators.

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Introduces the postulates of Quantum Mechanics, focusing on states in a Hilbert space and the role of observables.