2.6 Problems
81
The potential energy term is a diagonal matrix where the ith diagonal is just V (r i ).
Use the Morse potential of the previous two problems and a matrix diagonalization routine from www.netlib.org to calculate all bound eigenvalues of this
potential. Compare with the exact results. Plot the elements of the eigenvectors.
Can you explain what these eigenvectors represent?
13. Discrete Variable Representation—DVR The supplementary material has
FORTRAN subroutines to calculate the DVR approximate for the kinetic energy.
The potential energy term is a diagonal matrix where the ith diagonal is just V (r i )
(The supplied material also determines the nonuniformly spaced values of r i ).
Use the Morse potential of the previous two problems and a matrix diagonalization routine from www.netlib.org to calculate all bound eigenvalues of this
potential. Compare with the exact results and the DAF results if you did the
previous problem.
81
The potential energy term is a diagonal matrix where the ith diagonal is just V (r i ).
Use the Morse potential of the previous two problems and a matrix diagonalization routine from www.netlib.org to calculate all bound eigenvalues of this
potential. Compare with the exact results. Plot the elements of the eigenvectors.
Can you explain what these eigenvectors represent?
13. Discrete Variable Representation—DVR The supplementary material has
FORTRAN subroutines to calculate the DVR approximate for the kinetic energy.
The potential energy term is a diagonal matrix where the ith diagonal is just V (r i )
(The supplied material also determines the nonuniformly spaced values of r i ).
Use the Morse potential of the previous two problems and a matrix diagonalization routine from www.netlib.org to calculate all bound eigenvalues of this
potential. Compare with the exact results and the DAF results if you did the
previous problem.