Schrodinger Wave Function

Notes

File Description
Schrodinger equation The world is a wave...

Problems and solutions

Set Problems and Solutions
Schrodinger equation Schrodinger equation
Expectation values Expectation values
Kinetic energy Kinetic energy
Linear momentum Linear momentum
Normalization Normalization

Time-independent Schrodinger Equation

Notes

File Description
Plane waves Plane waves in QM
Particle in a box Particle in a box
Simple harmonic oscillator Quantized simple harmonic oscillator
Tunnel Effect Tunnel effect

Problems and solutions

Set Problems and Solutions
Square well potential Square well potential
Finite square well potential Finite square well potential
Harmonic oscillator Harmonic oscillator

Simulations

File Description
box 1D Particle in a one dimensional box
Particle in a finite potential well Particle in a 1D well
box 2D Particle in a two dimensional box
SHO 1D Simple harmonic oscillator, 1 dimension
SHO 2D Simple harmonic oscillator, 2 dimensions
Tunnel Effect Tunnel effect of an electron facing a barrier

Three dimensional wave functions

Notes

File Description
Hydrogen atom Hydrogen, the simplest atom
Solutions to the angular equation Spherical harmonics
Spin Spin

Problems and solutions

Set Problems and Solutions
Hydrogen atom Hydrogen atom
Two dimensional box Two dimensional box
Three dimensional box Three dimensional box
Angular momentum Angular momentum
Bohr model Bohr model
K and L lines K and L lines
Spin Spin

Simulations

File Description
box 3D Particle in a three dimensional box
SHO 3D Simple harmonic oscillator, 3 dimensions
Hydrogen atom Hydrogen atom, quantum mechanical model

Several particles

Problems and solutions

Set Problems and Solutions
Identical particles Identical particles
Bosons and fermions Bosons and fermions
Multielectron atoms Multielectron atoms

Perturbation Theory

Problems and solutions

Set Problems and Solutions
Perturbation Theory Perturbation Theory
Variational Method Variational Method

Applications

Problems and solutions

Set Problems and Solutions
Ferromagnetism Ferromagnetism
Metals Metals
Probability current Probability current
Zeeman Effect Zeeman Effect

Tables of useful functions

File Description
Laguerre Laguerre Polynomials
Laguerre Associated Associated Laguerre Polynomials
Legendre Legendre Polynomials
Legendre Associated Associated Legendre Polynomials
Hermite Hermite Polynomials
Spherical Harmonics Spherical Harmonics functions