A Renormalized-Hamiltonian-Flow Approach to Eigenenergies and Eigenfunctions  

作　　者：Wen-Ge Wang 王文阁(Department of Modern Physics, University of Science and Technology of China)

机构地区：[1]Department of Modern Physics, University of Science and Technology of China

出　　处：《Communications in Theoretical Physics》2019年第7期861-868,共8页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.11275179,11535011,and 11775210

摘　　要：We introduce a decimation scheme of constructing renormalized Hamiltonian flows,which is useful in the study of properties of energy eigenfunctions,such as localization,as well as in approximate calculation of eigenenergies.The method is based on a generalized Brillouin-Wigner perturbation theory.Each flow is specific for a given energy and,at each step of the flow,a finite subspace of the Hilbert space is decimated in order to obtain a renormalized Hamiltonian for the next step.Eigenenergies of the original Hamiltonian appear as unstable fixed points of renormalized flows.Numerical illustration of the method is given in the Wigner-band random-matrix model.

关 键 词：generalized Brillouin-Wigner perturbation theory HAMILTONIAN FLOW EIGENFUNCTION structure EIGENVALUE 

分 类 号：O3[理学—力学]