Quantum Mechanics: Vector Spaces, Braket notation and Inner Products
Mathematical introduction to some of the maths for quantum mechanics including vector spaces and inner products.
This video was inspired by the fantastic book Principles of Quantum Mechanics by Shankar (probably my favourite Quantum Textbook )
Chapters:
00:00 What is a vector space?
05:56 Linear Independence
09:04 Linear Independence example problem
10:48 Linear Independence using matrix determinants
11:55 N Dimensional Space using Linear Independence
13:08 What is a basis?
14:08 The Inner Product and Braket Notation
19:24 Transpose Complex Conjugate Example (Adjoint)
21:13 Expansion of vectors in an orthonormal basis
Watch video Quantum Mechanics: Vector Spaces, Braket notation and Inner Products online without registration, duration hours minute second in high quality. This video was added by user ZPhysics 30 October 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 1,554 once and liked it 53 people.