Scientist A makes the suggestion that there exists a one-dimensional system for which the wavefunction psi (x) has the form psi (x) = N tan (ax) for x greater/equal than 0 and x smaller/equal than infinity; N and a are constants. Scientists B disagrees with A and states that the true wavefunction for the system in question has the form psi(x)= N x^(1/2)e^(-ax) for x greater/equal than 0 and x smaller/equal than infinity; N and a are constants. Scientist C disagrees with both A and B and suggests that psi (x)= N sin (ax) for x greater/equal than 0 and x smaller/equal than infinity; N and a are constants. Which scientist is more likely to be correct? Justify your answer. Can anyone provide a detailed solution for this problem?