Hydrogen atom

Large metal plate,
driven up and down. put sand on it and the places that it doesn’t move are nodes

Wave function depends on (radius, angle and
time) *partial diff. equation

They knew how to figure waves out with Newtonian
physics

Then they could identify element with their
spectrum with their wavelengths

So
we could figure out what the stars are made of

1870s spectrum of hydrogen was measured
very well and we knew where the lines and the wavelengths came together

High
school teacher - Balmer figured out that the
successive wavelengths

At this point it was just a puzzle

Rutherford said there was a nucleus

Bohr says that if the angular momentum of
the electron is quantized

Figured
out that the energies

Lyman
series n->1

Balmer series n->2

But
no one could understand anything else about other elements

1925.
Heisenberg

Got
PhD barely

Then
he got hay fever really bad afterward

Founded
quantum mechanics from making tables

Max
Born realized that he was using matrixes

He
called it matrix mechanics

Hilbert- great mathematician

Turn
them into partial differential equations

Schrodinger came up with his equation using
the partial differential equation

Schrodinger found that if he found that
there was a connection about heisenburg's tables and
Schrödinger's wave function

19025-1930 Then people were happy and people
found wave functions for everything

The laws of chemistry were the laws of
quantum mechanics

(if there's a frequency f1 and f2, then you could find a
frequency f3 that was f1 + f2

Relativistic
corrections by Dirac