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arxiv: 1512.08721 · v1 · pith:IZ6YZ2QFnew · submitted 2015-12-10 · 🪐 quant-ph · hep-th· math-ph· math.MP

Particle resonance in the (1+1)-dimensional Dirac equation with kink-like vector potential and delta interaction

classification 🪐 quant-ph hep-thmath-phmath.MP
keywords equationkink-likepotentialvectorcasescorrespondingdeltadimensional
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The relativistic problem of spin- fermions subject to vector hyperbolic (kink-like) potential tanh (kx) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave functions are obtained in terms of the Jacobi polynomials for x>0 and x<0 cases.

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