A search on Dirac equation

A new algebraic technique for solving Schrödinger and Klein-Gordon equations [1], and the related other works therein, has been introduced recently and used to search many interesting problems in different disciplines of physics. These works have clarified the power of the suggested model when compared the results obtained with those provided by other analytical methods in the literature. Nevertheless, this formalism involves a deficiency in its present form which requires, to express the excited state wave functions, the application of linear operators on the ground state wave function appeared automatically in the mathematical framework. This is indeed a cumbersome procedure though it provides explicit expressions for the state functions having non-zero angular momenta. To remove this drawback inherent in the formalism used in our previous works [1], we suggest here an alternative scheme, unifying the spirit of the two theoretical models [1, 2], to work out relativistic/non-relativistic quantum mechanical problems analytically in a unified framework. This is the main motivation behind the work presented in this article which in particular focuses on the solution of Dirac equation since recently considerable attention has been paid to exactly solvable Dirac equations. The arrangement of this article is as follows. In the next section, a brief introduction of the usual Dirac formalism and its treatment within the frame of