Consider an operator  that contains the time as a

Consider an operator  that contains the time as a parameter. We are interested in how the average value of the property A changes with time, and we have
Consider an operator  that contains the time as a

The definite integral on the right side of this equation is a function of the parameter t, and it is generally a valid mathematical operation to calculate its derivative with respect to t by differentiating the integrand with respect to t:

Consider an operator  that contains the time as a
Consider an operator  that contains the time as a
Consider an operator  that contains the time as a

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