  We present an interaction modeling for the relativistic spin-0 charged
particles moving in a uniform magnetic field. In the absence of an improved
perturbative way, we solve directly Kummer's differential equation including
principal quantum numbers. As a functional approach to the nuclear interaction,
we consider particle bound states without antiparticle regime. Within the
approximation line to $1/r^4$, we have also improved the considerations of the
$V(r)$$\neq$$0$ and $S(r)$$=$$0$ related to scalar and mass interactions.
Moreover, we have founded a closeness for introduced approximation scheme for
range of $0.5$ and $1.0$ $\mathrm {fm}$. In this way, minimal coupling might
also yields analytically energy spectra. Within the spin-zero relativistic
regime, we have considered the inverse-square interaction under uniform
magnetic field and founded that the energy levels increase with increasing
interaction energy (i.e, quantum well width decreases for given values).
Additionally, energy levels increase with larger values of the uniform magnetic
fields. The charge distributions is also valid for the central
interaction-confinement space. Putting the approximation to spin-zero motion
with $V(r)$$\neq$$0$ and $S(r)$$=$$0$, one can introduced solvable model in the
2D polar space.

Quantum Physics