HON 164: The Week beginning Dec. 5 |
All homeworks and labs must be submitted before finals week starts to be eligible for full credit.
We went over a number of the problems from Friday
Practice_1_1.pdfWe discussed how we could take the energy equation we were dealing with when we discussed Bohr.
E = me v2 / 2 - k e2 / r
and rewrite it in terms of momentum p = m* v yielding
E = p2 / (2 me) - k e2 / r
Schrodinder turned de Broglie's relationship between momentum and wavelength into a derivative
E = -ħ2 / (2 me) [d2/dx2 + d2/dy2 +d2/dz2] Ψ - k e2 / r Ψ
where Ψ is called the wavefunction. It is connected with the idea of the "electron cloud".
We mentioned in passing here that the Schrodinger equation does not agree with Einstein's Theory of Special Relativity. Dirac introduced a variation of the Schrodinger equation that was "relativistically invariant". And in solving that found theoretically what we call a positron -- the antimatter version of an electron. Most particles are thought to have antimatter analogs with some properties the same like mass and other properties the opposite like charge.
We also talked about Schrodinger's equation and started to talk about Schrodinger's Cat.