18 citations · 72 across the 5 of their papers we have counts for
11 papers · 1 filter
Lowest Eigenvalues of Random Hamiltonians
J. J. Shen, Y. M. Zhao, A. Arima +1
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 eig…
Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements
J. J. Shen, A. Arima, Y. M. Zhao +1
We investigate eigenvalues of many-body systems interacting by two-body forces as well as those of random matrices. We find a strong linear correlation between eigenvalues and diag…
Number of states for nucleons in a single- shell
Y. M. Zhao, A. Arima
In this paper we obtain number of states with a given spin and a given isospin for systems with three and four nucleons in a single- orbit, by using sum rules of six-…
-pairing interaction, number of states, and nine- sum rules of four identical particles
Y. M. Zhao, A. Arima
In this paper we study -pairing Hamiltonian and find that the sum of eigenvalues of spin states equals sum of norm matrix elements within the pair basis for four identical p…
Number of Spin States of Identical Particles
Y. M. Zhao, A. Arima
In this paper we study the enumeration of number (denoted as ) of spin states for fermions in a single- shell and bosons with spin . We show that can be enum…
Energy Centroids of Spin States by Random Two-body Interactions
Y. M. Zhao, A. Arima, K. Ogawa
In this paper we study the behavior of energy centroids (denoted as ) of spin states in the presence of random two-body interactions, for systems ranging from very s…