In this paper we study the general behavior of matrix elements of the nuclear shell model Hamiltonian.We find that nonzero off-diagonal elements exhibit a regular pattern,if one sorts the diagonal matrix elements from...In this paper we study the general behavior of matrix elements of the nuclear shell model Hamiltonian.We find that nonzero off-diagonal elements exhibit a regular pattern,if one sorts the diagonal matrix elements from smaller to larger values.The correlation between eigenvalues and diagonal matrix elements for the shell model Hamiltonian is more remarkable than that for random matrices with the same distribution unless the dimension is small.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos.10575070 and 10675081)the Research Foundation for Doctoral Program of Higher Education in China (Grant No.20060248050)+1 种基金the Scientific Research Foundation of Ministry of Education in China for Returned Scholars (Grant No.NCET-07-0557)the Chinese Major State Basic Research Developing Program (Grant No.2007CB815000)
文摘In this paper we study the general behavior of matrix elements of the nuclear shell model Hamiltonian.We find that nonzero off-diagonal elements exhibit a regular pattern,if one sorts the diagonal matrix elements from smaller to larger values.The correlation between eigenvalues and diagonal matrix elements for the shell model Hamiltonian is more remarkable than that for random matrices with the same distribution unless the dimension is small.
基金National High Technology Research and Development Program (863) of China(2007AA01Z334)National Natural Science Foundation of China(69903006,60373065,0721002)New Century Excellent Talents in University(NCET-04-0460)