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We present an interaction modeling for the relativistic spin-0 chargedparticles moving in a uniform magnetic field. In the absence of an improvedperturbative way, we solve directly Kummer's differential equation includingprincipal quantum numbers. As a functional approach to the nuclear interaction,we consider particle bound states without antiparticle regime. Within theapproximation 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 forrange of $0.5$ and $1.0$ $\mathrm {fm}$. In this way, minimal coupling mightalso yields analytically energy spectra. Within the spin-zero relativisticregime, we have considered the inverse-square interaction under uniformmagnetic field and founded that the energy levels increase with increasinginteraction energy (i.e, quantum well width decreases for given values).Additionally, energy levels increase with larger values of the uniform magneticfields. The charge distributions is also valid for the centralinteraction-confinement space. Putting the approximation to spin-zero motionwith $V(r)$$\neq$$0$ and $S(r)$$=$$0$, one can introduced solvable model in the2D polar space.

Uniform magnetic field on the relativistic spinless particles with constant rest mass: 2D polar space