1. Quantum mechanics I Fall 2012
Physics 451
Quantum mechanics I
Fall 2012
Sep 26, 2012
Karine Chesnel

2. Until tomorrow Thursday night!
Quantum mechanics
Announcements
Test 1
Until tomorrow Thursday night!
Homework this week: HW # 8
due Friday Sep 28 by 7pm

3. Electron, X-ray scattering:
Ch 2.5
Quantum mechanics
Bound and Scattering states
In solid state physics
Electron, X-ray scattering:
Free particle
‘Scattering state”
Atom
Crystal
Bound states
Bound state

4. Bound and Scattering states
Ch 2.5
Quantum mechanics
Bound and Scattering states
A mechanical analogy
V(x) E2 E1 x

5. Bound and Scattering states
Ch 2.5
Quantum mechanics
Bound and Scattering states
Scattering state
Bound state x
V(x)
Harmonic oscillator x a
Infinite square well
Free particle
Scattering state
Bound state
Bound state

6. Bound and Scattering states
Ch 2.5
Quantum mechanics
Bound and Scattering states
V(x) x
In physical reality:
Scattering state
Bound state

7. The Dirac delta function
Ch 2.5
Quantum mechanics
The Dirac delta function
for
for

8. Ch 2.5
Phys 451
Quiz 11
What is equal to? 1
f(-5)
f(5)
f(x)
zero

9. The delta function potential
Ch 2.5
Quantum mechanics
The delta function potential
For

10. The delta function potential
Ch 2.5
Quantum mechanics
The delta function potential
Continuity at boundaries
is continuous
is continuous except where V is infinite