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In this paper, our focus is on investigating the impact of cosmologicalconstants on relativistic quantum systems comprising spin-0 scalar particles.Our analysis centers around the Klein Gordon equation, and we obtain bothapproximate and exact analytical solutions for spin-0 particles of the quantumsystem. Afterwards, we explore quantum oscillator fields by considering theKlein-Gordon oscillator within the same space time characterized by acosmological constant. We obtain an approximate expression for the energyeigenvalue of the oscillator fields. In fact, the energy spectrum in bothscenarios are examined and show the influences of the cosmological constant andgeometry s topology. Our investigation is situated within the context of amagnetic universe a four dimensional cosmological space-time recognized as theBonnor-Melvin universe.

Quantum dynamics of spin 0 particles in a cosmological space-time