Integrating the Expectation Value

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SUMMARY

The discussion focuses on the integration of the expectation value of a dynamic variable (operator) in the context of solving differential equations. Participants clarify that the expectation value is treated as a definite integral over all space, resulting in a numerical constant rather than a variable. The conversation emphasizes the need for clear problem formulation and the equations involved to fully understand the conceptual implications of integrating expectation values.

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I am asked a problem where I'm supposed to integrate the expectation value of a dynamic variable (operator) to solve a differential equation. OK, is the expectation value supposed to be a variable?

But it seems to me like its a definite integral over allspace and thus is a number. So integrating it would just be like integrating a constant.

What does this operation of integrating the expectation value of an operator even mean conceptually?
 
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You should write down the problem and the equations; it's not clear for me what you are talking about.
 

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