1. Introduction

• Necessary skills for this course
  • course prerequisites (PHYS 305, PHYS 326)
  • access to the system!
  • familiarity with Linux
  • programming in C/C++
  
  
• "Physics" topics to be covered
  • time-independent Schrodinger equation
    - scaling to dimensionless form
    - finite well
    - harmonic oscillator
  • basis expansion and matrix representation
  • time-dependent Schrodinger equation
    - diffusion
    - wave packets
  • perturbative techniques
  
  
• "Computation" topics to be covered
  • solution of algebraic equations
  • solution of ordinary differential equations
    - initial-value problems (review)
    - boundary-value problems
  • matrix operations
  • numerical integration of functions
  • solution of partial differential equations (diffusive)
  
  
• Numerical Recipes in C, online version
  
  
• Root-finding algorithms

• Homework #1
• Solution to Homework #1