## Hermitian Operators (Matrices) in Quantum Mechanics

Learn what Hermitian operators and matrices are and what three important properties they have. Examples are also made.

Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.

- 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

**License**: CC BY 4.0-
**Copyright**: © 2022 **Thumbnail**: Download- This video was uploaded by Alexander Fufaev on
01/24/2022 - 14:56 . - This content was updated by Alexander Fufaev on
01/28/2022 - 00:00 .

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