Quantum Mechanics

1
Quantum Mechanics

• Youngs double slit Wave/particle duality, and
  illustration of randomness and correspondence
  principle
• Heisenberg uncertainty principle
• De Broglie relation (matter waves ph/?)
• Bohr Model of Atom
• Allowed electron orbits with energy
• Planetary model
• Electrons jump

2
Quantum Mechanics (cont)

• Wavefunctions related to probability and
  describe system
• Relationships between energy, frequency (waves),
  velocity (particle) and momentum
• Schrödinger Equation What is it, where does it
  come from, how do you use it
• Application of potentials know results
• Square Well Infinite and finite
• Coulomb
• Harmonic Oscillator

3
One Electron Atom

• Used Coulomb Potential
• 4 Quantum Numbers define states

4
Molecules

• Potential curve for each configuration
• Vibrational and rotational states know
  approximate magnitude and dependence of spacing
• Electronic Transitions
• Excited states have larger internuclear
  separation
• Frank-Condon principle
• Stokes shift
• Mirror image absorption/emission
• Jablonski diagram

5
Quantum Dots

• Basics of periodic lattice and material band
  structure
• Exciton (electron hole pair) determines length
  scale for quantum confinement
• Density of states for confined structures
• Energy levels
• Advantages over organic dyes - 5
• Issues - 3

6
Metal Nanoparticles

• Effect from collective excitation of free
  electrons
• Applied field creates induced field which can
  couple to plasmon
• Drude Model for dielectric function
• Extinction Coefficient equation and understand
  resonance condition
• Large particles higher order modes
• Smaller particles increased scattering