The Kratzer potential is commonly used for obtaining bound state solutions and describing the vibrational motion of a single particle. The Klein-Gordon equation for Kratzer-type potentials is solved systematically by using the Nikiforov-Uvarov method. The exact bound state energy eigenvalues and the corresponding wave functions of the Klein-Gordon equation are obtained with equal scalar and vector potentials.
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Cüneyt Berkdemir (2006) studied this question.
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