Professor M does Science | The translation operator in quantum mechanics @ProfessorMdoesScience | Uploaded May 2020 | Updated October 2024, 1 hour ago.
Why is the translation operator important?

📚 In this video we learn about the properties of the translation operator in quantum mechanics. The translation operator translates position eigenstates in space. It allows us to prove many important properties of wave functions, such as why a wave function is related to a momentum space wave function by a Fourier transform.

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⏮️ BACKGROUND
Operators in Quantum Mechanics: youtu.be/pNFna7zZbgE
Functions of operators: youtu.be/nqLEbrzVsk4
Unitary operators: youtu.be/baIT6HaaYuQ

⏭️ WHAT NEXT?
Fourier transform of a wave function: youtu.be/2lr3aA4vaBs
Position and momentum operators on wave functions: youtu.be/Yw2YrTLSq5U

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Director and writer: BM
Producer and designer: MC