Bargmann-Wigner equations in five-dimensional space

The linearization of the Schrodinger equation leads to a description of odd-even nuclei with spin 3/2 in the ground state. In order to generalise this description to nuclei with arbitrary spins in their ground states, were constructed the Bargmann-Wigner equations (BWEs) for the (1,1)SO(5)-representation, which can be applied to odd-odd nuclei with spins 1 and 3, and for the (3/2, 3/2)SO(5)-representation, which can describe odd-even nuclei having ground-state spins of 3/2, 5/2 and 9/2. The paper also presents the nonrelativistic limit of the BWE for (1,1)SO(5)-representation in the case of a particle moving in an electromagnetic field with minimal coupling