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arXiv · 1403.6938

Exact Solution of a Spin-$\frac{1}{2}$ Particle for a Linear Potential

Altug Arda
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Abstract

The problem of a spin-$\frac{1}{2}$ particle moving in a linear potential field in two-dimensions is searched to obtain for nonzero energy eigenvalues and the corresponding normalized eigenfunctions. The zero-mode ($E=0$) eigenfunctions are also studied and it is seen that they are normalizable. The variation of the non-zero eigenfunctions and also eigenvalues are according to the position and potential parameter $\gamma$, respectively, given in the text.

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Altug Arda. 2014-03-27. Exact Solution of a Spin-$\frac{1}{2}$ Particle for a Linear Potential. https://arxiv.org/abs/1403.6938

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