This repo contains some codes to work with quantum and classical harmonic oscillator. Folders contain the main results and the programs are in the scope of the repo.
analytical.f: computes the probability of finding a particle for the classical harmonic oscillator (analitically), together with the density probability of the quantum harmonic oscillator in order to compare each order and test the Correspondence Principle;plot-analytical.py: plots the comparison: classical probability X quantum density of probability, using analytical results. Besides, this program moves the data files created in the main directory byanalytical.fto the folderanalytical/energies.f: computes eigenvalues for the energy of the quantum harmonic oscillator using Numerov's method;hermite.f: computes the Hermite polynomials until order 5;plot_hermite.py: plots the Hermite polynomials until order 5. Besides, this program moves the data files created in the main directory byhermite.fto the folderhermite/;numerov.f: computes the probability density for the quantum harmonic oscillator using Numerov's method; in order to prove the Correspondence Principle;plot-numerov.py: plots the comparison Numerov's X analytical probability densities. Besides, this program moves the data files created in the main directory bynumerov.fto the foldernumerov/;
An interesting explanation about the theory and plots of this repo is available in my blog: natalidesanti.