Course Content
1. Particles and waves, the time-independent Schrdinger equation, states and operators, particle-in-a-box, density-of-states, harmonic oscillator, hydrogen atom, tunneling, two-level systems 2. Electrons in a crystal lattice, quantum well, wire and dot devices, interacting quantum wells, scanning probe microscopy, excitons in semiconductors, spin-1/2 systems and quantum bits 3. Identical particles fermions and bosons, field quantization: phonons and photons 4. Classical and quantum density, entropy and information, statistical ensembles, Bose-Einstein and Fermi-Dirac statistics applications to electronic devices 5. Non-equilibrium statistical mechanics transition probabilities, the master equation, the Boltzmann Transport Equation for electrons in solids 6. Perturbation theory, scattering rates and lifetimes in electronic devices 7. Phonon scattering in semiconductors, absorption and emission of photons in semiconductors: lasers and solar cells.
Text / References
- 1 Hagelstein, Senturia and Orlando, “Introductory Applied Quantum and Statistical Mechanics”, Wiley 2004; Griffiths, “Introduction to Quantum Mechanics”, Prentice Hall 1995, Gershenfeld, “The Physics of Information Technology”, Cambridge University Press, 2000.