PHYS261-Lecture 30.08.2011

Hydrogen Atom

Separation of variables: See below

Working with spectra - extracted spectrum for hydrogen from the reference http://panda.unm.edu/Courses/Finley/P262/Hydrogen/WaveFcns.html

	and extended it
You can use these images for the exercises - it is fun and helps understanding

Here is our illustration of the selection rules - how the transitions or "jumps" are allowed

Helium system

Two-electron systems - coordinates and interactions

a3.png

Here is the version from our notes

hamilton operator

In this part we started to look at electron-electron repulsion

Independent Electrons - Separation of variables - Two independent equations

separation of variables - general

independent electrons - this is an approximation to 2-electron wavefunction
and we can start looking into the

Click-homework
http://en.wikipedia.org/wiki/Atomic_orbital
contains a very nice illustration in the section
http://en.wikipedia.org/wiki/Atomic_orbital#Understanding_why_atomic_orbitals_take_these_shapes
(which is actually taken from http://en.wikipedia.org/wiki/Vibrations_of_a_circular_drum
Each of the images also contains documentation including a matlab code (click on the image
it brings you to e.g. http://en.wikipedia.org/wiki/File:Drum_vibration_mode12.gif

Next Time:

1. Evaluation of repulsion - in independent electron model
2. Electron spin - symmetry and antisymmetry