a)Briefly describe the relationships between the probability, probability density and probability amplitude. b) Briefly describe how the general shape of the wavefunction can be described without actually solving the Schrodinger

equation. c) Briefly explain the fundamental relationship between operators and physical observables in quantum mechanics. What is a physical observable and what kinds of operators are associated with physical observables? d) Describe the composition of a localized particle written as a superposition of momentum states(eigenfunctions of momentum) and how this composition changes as the particle becomes more localized.