Appendices

• Physical constants
• Symmetry points of Brillouin zones
• The translation operator
• Solutions to the Schrödinger equation for a piecewise constant potential
• Reflections from a potential step
• Tunneling through a rectangular barrier
• Tunneling through an arbitrarily shaped tunnel barrier
• Free particles
• Particles confined to a line: polymers, Van Hove singularity
• Particles confined to a ring: aromatic molecules
• Particles confined to a tube: carbon nanotubes
• Particles confined to a plane: electrons trapped at an interface, MOSFET
• Particles confined to a cube: metal
• Analytic solutions to the Kronig-Penney model
• Electrons in a one-dimensional potential
• Periodic table
• Resonance in a damped, driven harmonic oscillator
• The Hamiltonian of a charged particle in a magnetic field
• Numerical integration and differentiation
• Displaying mathmatical expressions on this website