Can anyone give me a SIMPLE definition of what the shrodinger equation actually describes?

Answer 1

This is extremely complex advanced modern physics and a simple definition is not really possible. Go to
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/schr.html

Answer 2

its probably wrong to think of it "describing" anything in the way that x = vcos@ t, y = vsin@ t - gt^2/2 describes a missile.

we interpret the wave function as a probability distribution, but the better formalism - transition matrix between different quantum states probably gives the best description.

you can't know enough about a system (testing its state changes its state) so say any thing is any place .. you can only look at probabilities ... that condense to more definite statements as you look at larger collections of particles ( large samples narrows variance )

Answer 3

Ask your question in the physics section.

Answer 4

http://en.wikipedia.org/wiki/Shrodinger_equation