Quantum Mechanics

cd-rom version 1.01


Manuel Joffre
in collaboration with
Jean-Louis Basdevant and Jean Dalibard

Internet links on quantum physics
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About this software
Installation

Table of contents

1. Wave mechanics
  • 1.1 Wave/particle duality in quantum mechanics
  • 1.2 Propagation of a free wavepacket
  • 1.3 Propagation of a non-minimal wavepacket
  • 1.4 Steps and barriers
    • 2. Quantization in one dimension
  • 2.1 Eigenvalue equation
  • 2.2 Eigenstates in a constant potential
  • 2.3 Continuity of the wavefunction
  • 2.4 Energy quantization in a potential well
  • 2.5 Arbitrary potential
  • 2.6 General properties of bound states
  • 2.7 Numerical method for finding bound states
  • 2.8 Energy levels and eigenfunctions in a one-dimensional potential
  • 2.9 Hermite functions
  • 2.10 Sum of Hermite functions
  • 2.11 Decomposition on the Hermite basis
    • 3. Quantum superposition in one dimension
  • 3.1 A stationary state
  • 3.2 Another stationary state
  • 3.3 Superposition of two stationary states
  • 3.4 NH3 oscillations
  • 3.5 Time evolution of a harmonic oscillator
  • 3.6 Harmonic oscillator and Ehrenfest theorem
  • 3.7 Quasi-classic states
    • 4. Quantum superposition in two dimensions
  • 4.1 Two-dimensional quantum box
  • 4.2 Two-dimensional harmonic oscillator
  • 4.3 Gaussian wavepacket in a 2D harmonic oscillator
  • 4.4 Linear superposition in a 2D box
  • 4.5 Wavepacket in a box
    • 5. Quantization in three dimensions
  • 5.1 Spherical harmonics
  • 5.2 Carbon 60
    • 6. Spin 1/2
  • 6.1 How to represent a spin 1/2
  • 6.2 Larmor precession
  • 6.3 Magnetic resonance
  • 6.4 Rotations of 2 n pi
  • 6.5 Polarizer experiment
  • 6.6 Angular momentum precession