4/19/2004H133 Spring 20041Chapter 7•In chapter 6 we learned about a set of rules for quantum mechanics. Now we want to apply them to various cases and see what they predict for the behavior of quanta under different conditions.Free Particle: We already looked at a special case of this for the 2-slit experiment where the free particle was in an eigenstate of momentum…it had a well defined momentum and therefore wavelength.Bound Particle: Many particles in nature are not free but bound in a system.Electron in an atom.Proton in a nucleusAtom in a lattice.•Bound Systems are perhaps the most interesting cases for us to consider. We see much of the interesting features of quantum mechanics.However, bound systems can be very complicated (even for advanced physics courses!)Uranium Atom…no way of solving that in an exact way…in fact you get much beyond helium and it gets very hard.We will make a number of simplifying assumptions (approximations). Although these are approximations do not significantly alter our results…all the interesting features of quantum mechanics will still be there.
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