Investigation of the Dirac Equation by Using the Conformable Fractional Derivative
Investigation of the Dirac Equation by Using the Conformable Fractional Derivative
F. S. Mozaffari(Shahrood University of Technology); H. Hassanabadi(Shahrood University of Technology); H. Sobhani(Shahrood University of Technology); W. S. Chung(경상대학교)
72권 9호, 987~990쪽
초록
In this paper,the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the normal version is recovered. Then, the Cornell potential is considered as the interaction of the system. In this case, the wave function and the energy eigenvalue equation are derived with the aim of the bi-con uent Heun functions. use of the conformable fractional derivative is proven to lead to a branching treatment for the energy of the system. Such a treatment is obvious for small values of the fractional parameter, and a united value as the fractional parameter approaches unity.
Abstract
In this paper,the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the normal version is recovered. Then, the Cornell potential is considered as the interaction of the system. In this case, the wave function and the energy eigenvalue equation are derived with the aim of the bi-con uent Heun functions. use of the conformable fractional derivative is proven to lead to a branching treatment for the energy of the system. Such a treatment is obvious for small values of the fractional parameter, and a united value as the fractional parameter approaches unity.
- 발행기관:
- 한국물리학회
- 분류:
- 물리학