20810065-1 - QUANTUM ELECTRONICS

- to make the student familiar with the principal experimental results who led to the reformulation of physics needed in order for atomic phenomena to be adequately described;
- to introduce students to the concept wave function and to Schroedinger's equation;
- to provide those mathematical tools needed to solve some problems concerning simple quantum systems (potential well, harmonic oscillator);
- to provide a quantum interpretation about the behaviour of some complex systems (like for instance
hydrogen-like atoms, spin, field quantization, band theory, effective mass)
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Programme

Probability theory
Random variables
Averages and expected values
Examples of probability distributions
Boltzmann's statistics
Black body radiation
Planck's law
Photoelectric effect
Compton's effect
Rutherford's model
Bohr's quantum theory
de Broglie's waves
Schroedinger's equation for free particles
The superposition principle
The uncertainty principle
On the probabilistic meaning of the wavefunction
Physical observables and operators
Schroedinger's equation with forces
Eigenvalues and eigenfunctions
Stationary states
Potential step
Potential barriere: tunnelling
Quantum theory of alpha radioactive decay
Infinite potential well
2D rigid rotator: selection rules
Harmonic oscillator
Vibrations of diatomic molecules
Electron in a crystal: Bloch's theorem
Effective mass


Core Documentation

1) "Quantum Mechanics ", B.H. Bransden and C.J. Joachain;

2) "Quantum Physics", S. Gasiorowicz;



Reference Bibliography

3) "Quantum Mechanics", E. Merzbacher; 4) "Quantum Mechanics", L.I. Schiff More advanced 5) "Meccanica quantistica moderna", J. J. Sakurai, Ed. Zanichelli