Answer:
It seems like there might be some typos or missing information in your question. However, based on the provided text, let's try to address each part:
(a) In the infinite one-dimensional well, if there is a symmetry argument, the probability density function (Pav) is expected to be constant within the well due to the symmetric nature of the potential. Without specific details about the potential or boundary conditions, a precise expression can't be determined.
(b) The quantity \((p^2/2m)_{ay}\) appears to be related to the kinetic energy operator in the context of the infinite well. If you have \(p\) representing momentum, \(m\) as mass, and \(ay\) as some variable, it looks like a part of the kinetic energy operator. However, more context or clarification is needed to provide a more accurate answer.
(c) The expression \(\Delta p \Delta y \geq \hbar/2\) is a form of the Heisenberg Uncertainty Principle. However, it seems that there's an issue with the notation "Ap pay (pay)." If you provide more information or clarify the notation, I can assist you further.
