1. The problem statement, all variables and given/known data So im quite new to quantum mechanics and i am self teaching through a book called "Quantum mechanics for applied physics and engineering" by Albert Thomas Fromhold Jr. There are no solutions to the exercises, im im not sure how to begin with these types of questions since they are new to me. 2. Relevant equations 1) Time dependent one-dimensional S.W.E 2) Time dependant one-dimensional S.W.E with potential function 3. The attempt at a solution I dont know where to start for the first, i could try differentiating it, but im not sure how, maybe the fundamental theorem of calculus ? As for the second, I know i need to include a potential function for gravity which im guessing would be of the form GMm/r^2 in the unit x direction... Thanks for any pointers!