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Explicitly solve the Heisenberg equations of motion to find the time–dependent raising and lowering (creation and annihilation) operators for a one-dimensional oscillator in the Heisenberg picture. Show
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Explicitly solve the Heisenberg equations of motion to find the time–dependent raising and lowering (creation and annihilation) operators for a one-dimensional oscillator in the Heisenberg picture. Show these operators are consistent with the time–dependent position and momentum operators previously derived in Lecture

User Ljubadr
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Answer:

see detailed solution attached.

Step-by-step explanation:

Explicitly solve the Heisenberg equations of motion to find the time–dependent raising-example-1
Explicitly solve the Heisenberg equations of motion to find the time–dependent raising-example-2
User Andyisnowskynet
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