PHYS 301 Study Guide for Part III Ch. 6, 7, and 8
This is meant to help you review for test #3. You will be tested mostly on what was covered and worked out in class. Use you lectire notes as a guide when you study. The go to you book and the links listed below for details.
Ch. 6: In Chapter 6, the emphasis is the inroduction and solution of the Schrödinger's equation for simple cases.
You should be able to write the general solution for Schrödinger's equation for the particle in an infinite well. | |
You should then be able to apply boundary conditions and eliminate one of the terms in the general solution. | |
You should also be able to apply the normalization condition and deternine the constant for you solution. | |
You should then be able to calcualte energy eigenvalues (energy levles En , n=1,2,3 ...) | |
You should also be avle to calculate prbability for finding the particle at any given n. | |
You should be able to calcualte expextatiob values for position <x> and momentum <p> |
Ch. 7 Barriers and Walls: Tunnelling and Barrieer Penetration (slides 1-17)
In ch. 8, Particles incident on a finite potential barrier (section 8-1) and particles bound in a finite potential well (8-5) are dealt with.
Terms you should know and be able to state what they are in words as well as mathematically.
Normalization of a wave function, Boundary condition, continuity condition, tunnelling, barrier penetration
expectation value, eigenfunction, eigenvalue, the many expressions of Heisenbergs Uncertainity principle, application for tunnelling,
Ch. 8 Quantum Mechanics in 2 & 3D
You should be able to write the general solution for Schrödinger's equation for the particle in an infinite well in 2 and3d | |
You should then be able to apply boundary, conditions and eliminate one of the terms in the general solution. | |
You should also be able to apply the normalization condition and determine the constant for you solution. | |
You should then be able to calculate energy eigenvalues (energy levles En , n=1,2,3 ... i x , y and z dimensions) | |
You should also be able to calculate probability for finding the particle at any given n | |
You have to know the difference between the approaches Bohr and Scrodinger used to deal with the hydrogen atom. | |
How do the results obtained by solving the Scrodinger equation for the hydrogen atom compare eight that of the Bohr model? | |
What are the four quantum numbers associated with the electron in the hydrogen atom? | |
Be able to understand and reproduce example 9-3 on page 243. | |
Given a radial wave function of the from given in equation 9-39 (page 243) be able to determine at which r the probability for finding the electron peaks (i.e. becomes a maximum). |