Harmonic Oscillator F=-xk
Hooks law F=
dV
1
=k , V = k x 2
dx
2
Potential is proportional to the square of
position (springs, pendulums)
1. They undergo oscillatory motion
between turning points
Oscillatory motion: x(t)=cos(t) where t
is time and is angul

Postulate 1: The state of a quantummechanical system is completely
specified by its wave function
(r , t ) , which depends on the
coordinates of the particle and on the
time
Postulate 1b: the wave-function is
defined by the Sch o
dinger
equation:
2
2
d

1sA +
Electrons
in different
orbitals penetrate
2
2e
2towards
e2
enucleus
c ( 1sB )c(1 sA +1sB )d
the
by
different amounts
^
H=
+
+
+
+
shield outer electrons from
2m
2m
4 0 r 1 4 and
0 r 2 4 0 r 12
d=
experiencing a fuller charge, Zeff=Z- where
(r 1, ,