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Answer :
To determine g(p) for the wave-function y(x) = 2, we need to calculate the expectation value of momentum (p) using the given wave-function. Then, using the obtained value of g(p), we can calculate AxAp √√ sin(x) for the given range of x.
The wave-function y(x) = 2 represents a constant wave-function, meaning it has the same value everywhere within its domain. To determine g(p), we need to calculate the expectation value of momentum (p) using this wave-function. The expectation value of momentum can be calculated using the formula:
g(p) = ∫ y*(x) * (-i * ħ * d/dx) * y(x) dx,
where y*(x) represents the complex conjugate of the wave-function y(x), and ħ is the reduced Planck's constant.
For the given wave-function y(x) = 2, we can substitute it into the above formula and perform the integration to find the value of g(p).
Once we have obtained g(p), we can proceed to calculate AxAp √√ sin(x). The operator AxAp is the product of the position operator (x) and momentum operator (p). We need to evaluate this product for the function √√ sin(x) over the given range of x (0 ≤ x ≤ a).
To calculate AxAp √√ sin(x), we need to express the function √√ sin(x) in terms of the momentum basis. This involves finding the Fourier transform of the function and expressing it in the momentum representation. Then, we can use the obtained expression to calculate AxAp √√ sin(x).
Please note that without specific values for the range 'a', and considering the complexity of the problem, the detailed calculations cannot be provided here. It is recommended to perform the calculations step-by-step using the mentioned procedures to obtain the final solution.
learn more about momentum here: brainly.com/question/24030570
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