Lowest Eigenvalues of Random Hamiltonians

Details Lowest Eigenvalues of Random Hamiltonians Lowest Eigenvalues of Random Hamiltonians

2008-01-14

arxiv.org/abs/0801.2031v1

Phys.Rev.C77:054312,2008

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.77.054312

In this paper we present results of the lowest eigenvalues of random Hamiltonians for both fermion and boson systems. We show that an empirical formula of evaluating the lowest eigenvalues of random Hamiltonians in terms of energy centroids and widths of eigenvalues are applicable to many different systems (except for $d$ boson systems). We improve the accuracy of the formula by adding moments higher than two. We suggest another new formula to evaluate the lowest eigenvalues for random matrices with large dimensions (20-5000). These empirical formulas are shown to be applicable not only to the evaluation of the lowest energy but also to the evaluation of excited energies of systems under random two-body interactions.

Affiliated with

Also associated with

No associations

Rating

Lowest Eigenvalues of Random Hamiltonians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lowest Eigenvalues of Random Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lowest Eigenvalues of Random Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-633992