Course Contents
1. wave particle dualism
particle character of light
wave character of particles
2. wave mechanics
Schrödinger equation
wave functions
3. Mathemathical formalism of quantum mechanics
Hilbert space
observables
statistical interpretation
uncertainty principle
Ehrenfest theorem
uncertainty of energy and time
Dirac notation
4. Example solutions
General properties of the solutions, bound and scattering states
infinite square well
harmonic oscillator
delta function potential well
finite square well
potential barrier and tunneling
5. Free electron description of solids
Sommerfeld theory of the free electron gas
free electrons in a periodic lattice
the origin of energy gaps
6. Spherically symmetric potentials
Schrödinger equation in spherical coordinates
Analytical Solution of the angular equation
the radial equation
te angular momentum
the spin
addition of angular momenta
mgnetic moments
spin-orbit coupling
7. Many particle systems
identical particles
Pauli principle
The Helium atom
the periodic table and Hund's rules
8. Perturbation theory
Literature
[list]
[*]Andreas Klein, [i]Lecture Notes (english)[/i]
[*]David J. Griffths, [i]Introduction to Quantum Mechanics (engl)[/i]
[*]Haken, Brewer, Wolf, [i][i]The physics of atoms and quanta (engl)[/i][/i]
[*]W. Nolting, [i]Grundkurs theoretische Physik 5/1-2 (deutsch) [/i]
[*]Haken,Wolf, [i][i]Physics of atoms and quanta (english)[/i][/i]
[*]Ibach,Lüth[i] Solid State Physics[/i]
[/list]
Preconditions
background knowledge in solid state physics is helpful
- Lecturer: Hongbin Zhang