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arxiv: 1601.01672 · v1 · pith:H3TP4R6Mnew · submitted 2016-01-06 · 🪐 quant-ph · hep-th· math-ph· math.MP

The DKP equation in the Woods-Saxon potential well: Bound states

classification 🪐 quant-ph hep-thmath-phmath.MP
keywords boundequationpotentialsolutionsstatewellantiparticleappearance
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We solve the Duffin-Kemmer-P\'{e}tiau equation in the presence of a spatially one-dimensional symmetric potential well. We compute the scattering state solutions and we derive conditions for transmission resonances. The bound solutions are derived by a graphic study and the appearance of the antiparticle bound state is discussed.

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