1 why is it necessary to use a differential operator in, Ask an Expert

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1. Why is it necessary to use a differential operator in calculating the expectation value of p?

2. Are there other examples in science, engineering, or mathematics in which differential operators are related to physical quantities?

3. Do you think it is legitimate to say that we have solved a differential equation by guessing the form of the solution and then verifying the guess by substitution?

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