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.
