The model of electron hole system in 1D quantum ring is investigated by using quasi exact analytical method. At some discrete special values of ring’s radius, the wave functions and energies can be obtained analytically. The results show that energy of the system is two fold degenerate, which are two eigenstates of parity and the wave functions of the two eigenstates completely overlap in the right half of the coordinate system, but are contrary in the left half of the coordinate system.
