Dear All,
Firstly I thank Rongyang for his fruitful explanation and suggestions. He assured me that I had thought correctly. In fact, in our work I must have all eigenvectors of a system. For this reason, I read tutorials related to exact diagonalization (ED) from sparse diagonalization to full diagonalization. Unfortunately, none of them fulfills my need.
In most of tutorials the energy eigenvalues are sorted in several subspaces and momentums categories. But, I just wish to have a data set containing eigenvectors ignoring the dependence of momentum or subspaces. For example, for Ising chain in a transverse field ("h"), I wish to have the system's eigenvectors (as a list) and corresponded eigenvalues for each "h". How can we able to have a system's eigenvectors and corresponded eigenvalues? All the best