Computational Physics with Maxima or R

Ch. 3   Two Point Boundary Value and Eigenvalue Problems

Ted Woollett

Chapter 3 Topics

  1. Shooting Methods for 2nd Order ODE's
  2. Using the R Package bvpSolve
  3. Mono-Implicit Runge-Kutta R Method bvptwp
  4. Poisson's Equation
  5. Wave Equation

Example 3: Schroedinger's Equation

Detailed investigation of energy levels and corresponding wave functions for the finite rectangular potential well and the Lennard-Jones 6-12 Potential.

Runge-Kutta integration is used for the finite well problem, and the Numerov method is used for the Lennard-Jones potential problem.

Files for Ch. 3 and Example 3

  1. --cp3.zip : zip file, Aug. 24, 2015 , Maxima 5.31.2, R 3.0.2
  2. --cp3.tar.gz : tar.gz file, Aug. 24, 2015 , Maxima 5.31.2, R 3.0.2
  3. --cp3.pdf : Ch. 3 pdf file, Aug. 24, 2015
  4. --cp3.tex : Ch. 3 latex file, Aug. 24, 2015
  5. --cp3.mac : Maxima code for Ch. 3, Aug. 24, 2015, Maxima 5.31.2
  6. --cp3.R : R code for Ch. 3, Aug. 24, 2015, R 3.0.2
  7. --example3.pdf : Example 3 pdf file, Schroedinger's Equation, Aug. 24, 2015
  8. --example3.tex : Example 3 latex file, Schroedinger's Equation, Aug. 24, 2015
  9. --FW.mac : Maxima code for Finite Rectangular Well, Aug. 24, 2015, Maxima 5.31.2
  10. --FW.R : R code for Finite Rectangular Well, Aug. 24, 2015, R 3.0.2
  11. --LJ6-12.mac : Maxima code for Lennard-Jones Potential, Aug. 24, 2015, Maxima 5.31.2
  12. --LJ6-12.R : R code for Lennard-Jones Potential, Aug. 24, 2015, R 3.0.2