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The Klein-Gordon and the Dirac equations with vector and scalar potentialsare investigated under a more general condition, $V_{v}=V_{s} +\mathrm{const.}$ These isospectral problems are solved in a case of squaredtrigonometric potential functions and bound states for either particles orantiparticles are found. The eigenvalues and eigenfuntions are discussed insome detail. It is revealed that a spin-0 particle is better localized than aspin-1/2 particle when they have the same mass and are subject to the samepotentials.Comment: 9 pages, 3 figure

Confinement of spin-0 and spin-1/2 particles in a mixed vector–scalar coupling with unequal shapes for the potentials