The Meson Model on the Basis of the String Solution of the Heisenberg Equation

The axially symmetric non-local solution in the Heisenberg equation is found. It is regular in the whole space and has the finite energy on the unit of length according to this we may consider the solution as a string. Taking the non-local spherically symmetric solution, which was found by Finkelstein et. al., and our solution in account we suggest to consider the Heisenberg equation as a quantum equation for non-local objects (strings, flux tubes, membranes and so on). The received solution is used for the obtaining the meson model as a rotating string with the quark on its ends. PACS number: 03.65.Pm; 11.17.-w In the 50-th years W.Heisenberg introduce the nonlinear term in the Dirac equation [1]-[3]. The given equation (Heisenberg equation(HE)) has the discrete spectrum of the spherically symmetric solution with the finite energy even in the classical region [4], [5]. This gave the hope that in Unified field theory based on HE all the fundamental characteristic of the elementary particles would be derive. The further development of the theory straight this direction showed that this hope could not be realized. Notice that the main peculiarity of HE is the fact that it has the nonlocal solution: for example, in [4],[5] the spherically symmetric particlable