一维Morse势的Dirac方程的束缚态

在标量型和矢量型Morse势相等的条件下,给出了Dirac方程束缚态的一维二分量波函数和一维四分量波函数的精确解.并且在求精确解时,运用一种新的自变量变换方法,使方程求解变得比较简单.

Bound states of the Dirac equations with one-dimensional morse type potentials

The exact solutions of bound states of one dimensional two component wave function and one dimensional four component wave function of the Dirac equation are obtained provided scalar like and vector like potential of one dimensional Morse type potential are equal to each oter. When obtaining the exact solutions, we can use a new way by changing the independent variable, which makes it easier to solve solutions.