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Approximate Solutions of Dirac Equation with Hyperbolic-type Potential (1507.00618v1)
Published 28 May 2015 in hep-th, math-ph, math.MP, and quant-ph
Abstract: The energy eigenvalues of a Dirac particle for the hyperbolic-type potential field have been computed approximately. It is obtained a transcendental function of energy, $\mathcal{F}(E)$, by writing in terms of confluent Heun functions. The numerical values of energy are then obtained by fixing the zeros on "$E$-axis" for both complex functions $Re[\mathcal{F}(E)]$ and $Im[\mathcal{F}(E)]$.
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