Professor M does Science | Representations in quantum mechanics @ProfessorMdoesScience | Uploaded June 2020 | Updated October 2024, 3 hours ago.
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📚 Kets, bras, and operators are the abstract mathematical objects that allow us to define the state and properties of a physical system in quantum mechanics. When we want to solve the equations of quantum mechanics, we need to represent these abstract objects in a particular basis. In this video we explain how that is done, and we draw an analogy with the corresponding concepts in a 2-dimensional Euclidean space.

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⏮️ BACKGROUND
Dirac notation in state space: youtu.be/hJoWM9jf0gU
Operators: youtu.be/pNFna7zZbgE

⏭️ WHAT NEXT?
Matrix formulation of quantum mechanics: youtu.be/wIwnb1ldYTI
Wave functions (position representation): youtu.be/2lr3aA4vaBs

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Director and writer: BM
Producer and designer: MC