Generalized Analytic Methods For The Solution Of Quantum Mechanics With A New Non-Central Potential

The atomic core of both hydrogen-like ion and alkali metal is a spherically symmetric structure, It possess circular symmetry potential field, However, it is valence electron atom is polarized field, the formation of off-center dipole, attracts the electrons, so the atomic core on the valence electron part of the role of the Coulomb potential screened, the form of Interaction potential as follow Where0≤η≤1In fact, the atoms core are often polarized a real polarization model, so it is a very important significance that to research the solved exactly in the core polarization model. In order to study the model of the similar benzene structure, the ring atom core potential was proposed, which is the real role of the original atomic potential plus a ring on the inverse square potential.Therefore, this paper presents a new toroidal core polarization potentialThis article includes three main areas:First, a new non-central potential is proposed in this paper. The exact bound solution of Dirac equation and Schrodinger equation for the above potential is obtained under the condition of equal scalar potentials and vector potentials. They can be separated into an corresponding to the wave function equations of angular and radial wave function equation with the method of separation variables, and then by the radial bound state wave functions are satisfy with the boundary conditions, obtains the exact bound state energy spectrum equations. Meanwhile, proper discussion and some important conclusions are presented.Second,"N-U method" which is widely applied in solving wave function and energy levels of complex atomic-molecule system at home and abroad in recent years is briefly introduced. And the new non-central potential is given bound states solution of K-G equation and schrodinger equation and appropriated discussions. Third, we make Investigative to studies Supersymmetric quantum mechanics and put forward to prospect.