# Effects of a mixed vector-scalar screened coulomb potential for spinless particles

@article{Castro2006EffectsOA, title={Effects of a mixed vector-scalar screened coulomb potential for spinless particles}, author={A. S. M. de Castro}, journal={International Journal of Modern Physics A}, year={2006}, volume={21}, pages={5141-5149} }

The problem of a spinless particle subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and its bounded solutions are found. Some unusual results, including the existence of a bona fide solitary zero-eigenmode solution, are revealed for the Klein–Gordon equation. The cases of pure vector and scalar potentials, already analyzed in previous works, are obtained as particular cases.

#### 8 Citations

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The problem of a fermion subject to a general mixing of vector and scalar screened Coulomb potentials in a two-dimensional world is analyzed and quantization conditions are found.

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The Klein‐Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, Vv + Vs = constant. These intrinsically relativistic and isospectral… Expand

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Abstract The Klein–Gordon equation for the non-minimal vector and a scalar Kink-like potential is solved in terms of the hypergeometric functions. The scattering problem, i.e. the transmission and… Expand

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The problem of spin-0 and spin-1 bosons subject to a general mixing of minimal and nonminimal vector cusp potentials is explored in a unified way in the context of the Duffin–Kemmer–Petiau theory.… Expand

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Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form are obtained within the framework of the auxiliary field method. This method, which is equivalent to the… Expand

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