Chapter 11 - The World of Atoms
Molecules and condensed matter



Gas laws

  • Microscopic origin of pressure
  • End-on dipole
  • Induced dipole
  • 6-12 potential
  • Not really 12
  • van der Waals equation
  • Is pressure a force or an energy?
  • Animation I
  • Animation II

    • Molecule in a room

  • Probability formulation
  • EBK box quantization
  • Energy levels
  • Classical and BSW
  • Mean position
  • Mean square position
  • Measurements
  • Variance and standard deviation
  • Variance of distributions
  • Experimental testing

    • Harmonic oscillator (Sect. 2.3.3)

  • Generalized formulation
  • SHO average values
  • Action quantization
  • Classical and BSW
  • Summary
  • Anharmonic well
  • Perturbation expansion
  • Accepted QM solution
  • Animation
  • Comparison with box and Kepler

    Generalize to numerical solution of arbitrary potentials

  • Formulation
  • Exercise
  • Solution

    • Semiclassical Quantization (Sect. 2.3)

  • BSW Quantization
  • EKB Quantization
  • EKB References
  • Sommerfeld and Caustics
  • Caustic animation
  • In original language
  • A.Einstein, Deutsche Physikalische Gesellschaft 19 (1917).
  • Stone essay
  • J.B. Keller, Ann. Phys. (NY) 4, 180 (1958).
  • Semiclassical self-consistent fields

    Molecular bonding

  • Ionic/covalent
  • Covalent bonds
  • H2 applet
  • Classical and QM dwell times
  • pp and sp bonding
  • Water, ammonia and methane
  • sp hybrids
  • Caltrops
  • continued
  • Greenhouse tetrahedrons
  • Central angle of a tetrahedron

    • Molecular spectra

  • Vibration and rotation
  • Level structure
  • HCl spectrum

    • Crystalline solids

  • Simple cubic
  • Face-centered cubic
  • Body-centered cubic
  • Diamond cell
  • Diamond separation
  • Hexagonal close-packed structure
  • Hexagonal packing fraction
  • Ionic spacing
  • Discussion

    • Model for current flow

  • Current flow
  • Drift and thermal speeds
  • Fermi speeds
  • Combined motions
  • Acceleration between collisions
  • Viscous drag
  • Ohm's Law
  • Mean free path and collision time
  • Drift speed
  • Relativistic speed?
  • Magnetic fields and relativity
  • Ohm's law and thermal conductivity   [Current Position]
  • The Maxwell-Boltzmann Wiedemann-Franz Law
  • The Fermi-Dirac Wiedemann-Franz Law
  • Gravitational analogy
  • Capacitors and Resistors