Changing basis in quantum mechanics

Changing basis in quantum mechanics



In this video we learn how to change between bases in quantum mechanics.

When we solve the equations of quantum mechanics we need to write kets, bras, and operators in a particular basis. Although the physics is independent of the basis, choosing a good one can greatly simplify the maths. For this purpose, it is essential to be able to change between bases. In this video we learn how to change kets, bras, and operators between bases.

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⏮️ BACKGROUND
Dirac notation in state space: https://youtu.be/hJoWM9jf0gU
Operators: https://youtu.be/pNFna7zZbgE
Representations: https://youtu.be/rp2k2oR5ZQ8
Matrix formulation: https://youtu.be/wIwnb1ldYTI

⏭️ WHAT NEXT?

Wave functions (changing between position and momentum bases): https://youtu.be/2lr3aA4vaBs
Changing basis in second quantization: https://youtu.be/6icXRi5lGWE

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Director and writer: BM
Producer and designer: MC

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