  In this paper, we introduce and analyze the Smith-Volterra-Cantor potential
of power \( n \), denoted as SVC\(\left(\rho, n\right)\). Bridging the gap
between the general Cantor and SVC systems, this novel potential offers a fresh
perspective on Cantor-like potential systems within quantum mechanics that
unify fractal and non-fractal potentials. Utilizing the Super Periodic
Potential (SPP) formalism, we derive the close form expression of the
transmission probability \( T_{G}(k) \). Notably, the system exhibits
exceptionally sharp transmission resonances, a characteristic that
distinguishes it from other quantum systems. Furthermore, the multifaceted
transmission attributes of the SVC\(\left(\rho, n\right)\) are found to be
critically dependent on both parameters, \( \rho \) and \( n \), offering an
intricate interplay that warrants deeper exploration. Our findings highlight a
pronounced scaling behavior of reflection probability with \( k \), which is
underpinned by analytical derivations.
