Characterizations Of The Dirac Formula With Domain

Dirac equation is one of the fundamental equation of Quantum Mechanics. In this article, first, we use classical methods to portray one-dimensional regular Dirac Operator's self-adjoint domain and obtain the general forms of self-adjoint domain in closed interval [a, b]; Next, we use the methods of symplectic geometry to give the description of one dimensional regular Dirac Operator's self-adjoint domain; Finally we discuss one-dimensional singular Dirac Operator's self-adjoint domain and prove that the singular is limit-point when the potential is continuous.