EIGENFUNCTIONS

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A Renormalized-Hamiltonian-Flow Approach to Eigenenergies and Eigenfunctions被引量：1
《Communications in Theoretical Physics》2019年第7期861-868,共8页Wen-Ge Wang 
Supported by the National Natural Science Foundation of China under Grant Nos.11275179,11535011,and 11775210
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 eigenen...
关键词：generalized Brillouin-Wigner perturbation theory HAMILTONIAN FLOW EIGENFUNCTION structure EIGENVALUE 
Exact Eigenfunctions of N-body System with Quadratic Pair Potential
《Communications in Theoretical Physics》2012年第11期639-644,共6页王兆亮 王安民 杨阳 李学超 
Supported by the National Natural Science Foundation of China under Grant No.10975125
We obtain the energy spectrum and all the corresponding eigenfunctions of N-body Bose and Fermi systems with Quadratic Pair Potentials in one dimension. The original first excited state or energy level is disappeared ...
关键词：Calogero-Sutherland model quadratic pair potential exact eigenfunction 
Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere
《Communications in Theoretical Physics》2012年第7期31-33,共3页孙浩然 寻大毛 唐良辉 刘全慧 
Supported by National Natural Science Foundation of China under Grant No. 11175063
A technique of coordinate transformation is devised to overcome the computational difficulty associated with the direct transformation between eigenfunctions of three components of the geometric momentum on two-dimens...
关键词：quantum mechanics differential geometry partial differential equations 
Bound State Solutions of Schrodinger Equation for Generalized Morse Potential with Position-Dependent Mass被引量：1
《Communications in Theoretical Physics》2011年第7期51-54,共4页Altug Arda Ramazan Sever 
The effective mass one-dimensional Schroedinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions are computed analytically. T...
关键词：position dependent mass Schr5dinger equation generalized morse potential Nikiforov-Uvarovmethod energy eigenvalues EIGENFUNCTIONS 
Solution of Schrdinger Equation for Two-Dimensional Complex Quartic Potentials
《Communications in Theoretical Physics》2009年第3期397-406,共10页Ram Mehar Singh Fakir Chand S.C.Mishra 
We investigate the quasi-exact solutions of the Schrodinger wave equation for two-dimensional non-hermitian complex Hamiltonian systems within the frame work of an extended complex phase space characterized by x = x1 ...
关键词：Schrodinger equation complex Hamiltonian EIGENVALUES EIGENFUNCTIONS PT-SYMMETRY 
Eigenfunctions of Five-Qubit XX Chain and Ground State Concurrence
《Communications in Theoretical Physics》2008年第12期1295-1298,共4页LING Yin-Sheng 
Use Jordan-Wigner transformation the eigenstates and eigenenergies of live qubits XX chain including external magnetic field are obtained. The concurrences Co,1 and Co,2 of ground state are obtained. For the ferromagn...
关键词：XX chain ENTANGLEMENT Jordan-Wigner transformation CONCURRENCE 
Solving Laguerre-Gauss Mode Eigenvectors and Eigenfunctions in Entangled State Representation
《Communications in Theoretical Physics》2006年第4期617-620,共4页FAN Hong-Yi GAO Wei-Bo 
The project supported by the President Foundation of the Chinese Academy of Sciences
We solve the Laguerre-Gauss mode eigenvectors and eigenfunctions in the entangled state representation by searching for common eigenvectors of the 2-dimensional harmonic oscillator＇s total energy operator and the ang...
关键词：Laguerre-Gauss modes entangled state representation 
Structure of Hamiltonian Matrix and the Shape of Eigenfunctions：Nuclear Octupole Deformation Model
《Communications in Theoretical Physics》2002年第2期161-166,共6页XINGYong－Zhong LIJun－Qing 等 
中国科学院'百人计划'，国家重点基础研究发展计划(973计划)
The structure of a Hamiltonian matrix for a quantum chaotic system, the nuclear octupole deformation model, has been discussed in detail. The distribution of the eigenfunctions of this system expanded by the eigenstat...
关键词：the structure of Hamiltonian matrix shape of eigenfunctions nuclear octupole deformation model quantum chaos 
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