Professor M does Science | Try it yourself: the adjoint operator in quantum mechanics @ProfessorMdoesScience | Uploaded June 2020 | Updated October 2024, 3 hours ago.
In this video we go over a series of exercises to understand the mathematical properties of the adjoint operator.

📚The adjoint of an operator describes the action of this operator in the dual space. Adjoint operators play a key role in quantum mechanics, perhaps the most important being that all physical quantities are represented by operators that are equal to their adjoint, called Hermitian operators. In this video we explore some of the mathematical properties of the adjoint operator to become familiar with manipulating operators.

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⏮️ BACKGROUND
State space and dual space: youtu.be/hJoWM9jf0gU
Operators: youtu.be/pNFna7zZbgE

⏭️ WHAT NEXT?
Hermitian operators: youtu.be/XIgDUfyrLAY
Unitary operators: youtu.be/baIT6HaaYuQ
Commutator algebra: youtu.be/57xgSIV9PY0

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Director and writer: BM
Producer and designer: MC