Solve numerically the eigenvalue problem Hψ = Eψ using matrix mechanics. Write a finitedimensional approximation to variables p, q by using harmonic oscillator basis functions. Study the approximation...

Solve numerically the eigenvalue problem Hψ = Eψ using matrix mechanics. Write a finitedimensional approximation to variables p, q by using harmonic oscillator basis functions. Study the approximation with polynomials potentials (harmonic and anharmonic oscillator) and the Morse potential