Reality of Energy Spectra in Multi-dimensional Hamiltonians Having Pseudo Hermiticity with Respect to the Exchange Operator  

作　　者：AsiriNanayakkara 

机构地区：[1]InstituteofFundamentalStudies,HanthanaRoad,Kandy,SriLanka

出　　处：《Communications in Theoretical Physics》2005年第1期49-54,共6页理论物理通讯（英文版）

摘　　要：The pseudo Hermiticity with respect to the exchange operators of N-D complexHamiltonians is investigated. It is shown that if an N-D Hamiltonian is pseudo Hermitian and anyeigenfunction of it retains π_αT symmetry then the corresponding eigen value is real, where π_αis an exchange operator with respect to the permutation a of coordinates and T is the time reversaloperator. We construct a special class of N-D pseudo Hermitian Hamiltonians with respect to exchangeoperators from both N/2-D and N-D general complex Hamiltonians. Examples are presented forHamiltonians with πT symmetry (π : x reversible y, p_x reversible p_y) and the reality of thesesystems are investigated.

关 键 词：PT symmetry exchange operator pseudo hermitian 

分 类 号：O175.2[理学—数学] O433[理学—基础数学]