Problems The following are some problems that will help you refresh your memory about material you should have learned in undergraduate chemistry classes and that allow you to exercise the material taught in this text Suggestions about what you should be able to do relative to the background material in the Chapters of Part 1 1. You should be able to set up and solve the one - and two-dimensional particle in a box Schrodinger equations. I suggest you now try this and make sure you see a. How the second order differential equations have two independent solutions, so the most general solution is a sum of these two b. How the two boundary conditions reduce the number of acceptable solutions from two to one and limit the values of e that can be"allowed c. How the wave function is continuous even at the box boundaries but d/dx is not. In general d yp/dx, which relates to the momentum because-i-h d/dx is the momentum operator, is continuous except at points where the potential v(x)undergoes an infinite jump as it does at the box boundaries. The infinite jump in V, when viewed classically, means that the particle would undergo an instantaneous reversal in1 Problems The following are some problems that will help you refresh your memory about material you should have learned in undergraduate chemistry classes and that allow you to exercise the material taught in this text. Suggestions about what you should be able to do relative to the background material in the Chapters of Part 1 1. You should be able to set up and solve the one- and two-dimensional particle in a box Schrödinger equations. I suggest you now try this and make sure you see: a. How the second order differential equations have two independent solutions, so the most general solution is a sum of these two. b. How the two boundary conditions reduce the number of acceptable solutions from two to one and limit the values of E that can be “allowed”. c. How the wave function is continuous even at the box boundaries, but dY/dx is not. In general dY/dx, which relates to the momentum because – i h d/dx is the momentum operator, is continuous except at points where the potential V(x) undergoes an infinite jump as it does at the box boundaries. The infinite jump in V, when viewed classically, means that the particle would undergo an instantaneous reversal in