The statistics of energy eigenvalues for a class of Hamiltonians written as H = H0+tV is studied through the dynamics of levels regarding the perturbation parameter t as time. The statistical properties of eigenvalues are investigated by measuring quantities such as the nearest-neighbor level spacing distribution and the Dyson-Metha statistics for two types of ensembles known as orthogonal and unitary, and for three values of the system parameter controlling chaos.
雑誌名
Physics Letters, Section A: General, Atomic and Solid State Physics
Numerical simulation of level statistics
運用要項