| 1 | In chapter 1 we introduce the Driac equation following the physically motivated approach of Dirac. | |
| 2 | We mainly investigate the admissible solutions for Dirac equation with singular and non-monotonous nonlinearity by means of shooting methods. | |
| 3 | However, in curved spacetime the solution of Dirac equation is highly nontrivial. | |
| 4 | Also Dirac stated in 1951 in an article in Nature, titled Is there an ether? | |
| 5 | Heisenberg matrix mechanics could hardly be regarded as laws of nature without the fundamental formulation of Dirac. |