Abstarct: The past decade has calcium isotopes in theory and expriment has been widely studied. Of the various isotopes, we treat the isotope of calcium 41 and 43 with even – odd nuclei. Since calcium isotopes of calcium 41 and 43 respectively, each with a single individual nucleons outside the central part of the magic and three individual nucleons outside the central part of the magic are, the first to study the force between nucleons are look at the many – body systems. So with regard to the shell model to solve the Schrödinger equation in the presence of potential quqsi – Hellman using specific analytical NU and eigenvalue ground state and wave functions ground state and eigenvalue excited state and root mean square radius of charge of calcium isotopes 41 and 43 we calculate. We have applied the spin – orbit interaction in the energy shift levels. So our results have good agreement with experimental data. And At the end, of the Dirac equation with regard to the symmetry of spin and Pseudo – Spin we solved using NU analytical methods and eigenvalue energy and wave functions obtained and reached the conclusion that the wave functions satisfy the boundary conditions.