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We have studied the variation of the position space statistical complexitymeasure defined by L\'{o}pez-Ruiz, Mancini, and Calbet such as the product ofexponential of the Shannon information entropy and the disequilibrium by usingthe 1D-normalized probability densities derived from solutions of theSchr\"{o}dinger equation corresponding to the q-deformed harmonic oscillatorand q-deformed Morse potentials. An analysis of the numerical results in termsof Shannon information entropy, disequilibrium and complexity measure arepresented. In q-deformed harmonic oscillator, q-dependence of the complexityshows a minimum point for all excited energy levels. In the case of q-deformedMorse Potential, complexity decreases with increasing $q$ for the investigateddiatomic molecules.

Complexity Study of a Single Particle Under q-Deformed Potentials