Hi! I'm currently enrolled in a course about physical chemistry. Being a chemist in ground, I do not have much previous mathemathical education and this have now become a problem. People have told me that math isn't really that necessary for this course, but I can see now that we have come to quantum mechanics that I really should have read some more math before. Anyway, not much I can do now and I ask for your help. :) I have 2 questions I need help with, and I would be really glad if you could help me out. It's mostly mathemathical at this point. And maybe I should point out that my mother language is not english, so I may get some things weird/wrong. 1) Apply the quantum mechanical operators of x, p, p^2 on each of the following functions: x^2, exp(ikx), exp(-ax^2). 2) Look at a particle in one dimension, x, in the interval 0<x<1. The wave function that describes the particle is psi(x) = sin(pi*x) in the interval and zero outside. a: Normalize the wave function b: Calculate the uncertainty (Heisenberg's) - deltaXdeltaP Any hints, tips, help would be the best. Many thanks.