what is the solution of schrodinger's equation in harmonic oscillator representation/?

Answer 1

Here is the equation that "frustrates" or "fascinates" ,( you only can find half the solution, the solutions is always CHANGING!)
1/2 the solution...If you find the momentum, you just changed the solution...If you find the positions...same thing...
It is an evasive solution, like the pot of gold at the end of the rainbow...

The distance between the nucleus and the electron from the centre of mass is given as
r<1,r<2
l is the momentum inertia (m<1,m<2,...)
L is a non negative integer
h is Plank's constant

The formulae is:
E
It is very complicated, I don't pretend to understand it I just find it fascinating. If
you can understand it, well: good for you.

No matter how you put it this equation will frustrate
because you will never find the momentum and the position...It is like a phantom formulae....
Just like Shriner's cat. I still think electrons are able to move in two directions at the same moment...It might seem far fetched, but the other variables may well be hidden in another dimension...Perhaps with 2d time!!! Antitime could perhaps enable an object to move in 2 directions at the same time...Perhaps a 4d space?!

Answer 2

Keep the cat out of boxes and in plain sight at all times. :)

Answer 3

For the general equation:

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc2.html#c1

For specific "n" values:

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc5.html#c1