Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
Content of the video
- 00:00 Motivation: Real mean values
- 01:16 What are Hermitian operators?
- 02:16 What is a self-adjoint operator?
- 02:56 Notation of a Hermitian operator
- 03:20 Eigenvalues are real
- 04:27 Eigenvectors are orthogonal
- 05:56 Eigenvectors form a basis
- 06:37 What is a Hermite matrix?
- 07:19 Examples for (non) Hermitian matrices