Semiunitary Transforrnation and Isospectral Hamiltonians in Arbitrary Dimensional Space  

作　　者：RUAN Dong WANG Xue-Jin HUANG Wei-Cheng SUN Hong-Zhou 

机构地区：[1]Department of Physics, Tsinghua University, Beijing 100084, China [2]The Key Laboratory of Quantum Information and Measurements of MOE, Tsinghua University, Beijing 100084, China [3]Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China Department of Electronic Engineering, Tsinghua University, Beijing 100084, China The Key Laboratory of Quantum Information and Measurements of MOE, Tsinghua University, Beijing 100084, China Institute of Applied Chemistry, Xinjiang University, Urumqi 830046, China Department of Physics, Tsinghua University, Beijing 100084, China Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

出　　处：《Communications in Theoretical Physics》2001年第7期25-28,共4页理论物理通讯（英文版）

基　　金：国家自然科学基金，国家重点基础研究发展计划(973计划)，清华大学校科研和教改项目

摘　　要：By means of the complex Clifford algebra, a new realization of multi-dimensional semiunitary transformation is put forward and then applied to studying the isospectrality of nonrelativistic Hamiltonians of multi-dimensional quantum mechanical systems, in which the generalized Pauli coupling interaction and spin-orbit coupling interaction appear naturally. Moreover, it is shown that the semiunitary operators, together with the Hamiltonian of quantum mechanical system, satisfy the polynomially-deformed angular momentum algebra.

关 键 词：semiunitary transformation  action-angle approach  isospectrality of Hamiltonians  DEFORMED ANGULAR MOMENTUM ALGEBRA 

分 类 号：O4[理学—物理]