Abstract
The minimal length Generalized Uncertainty Principle (GUP) is a proposed theory based on the basic phenomenology of Quantum Gravity (QG) to study the effect of gravity in the quantum realm in a nonrelativistic way. In this paper, we study the GUP effect on anharmonic oscillator by the ladder operator and perturbation theory. Taking different orders of perturbation from the potential of anharmonic oscillator, the first and second order energy corrections and the first order correction of wavefunction have been derived. We have also studied the variation of energy spectrum in general harmonic and anharmonic oscillator in an undergraduate nonrelativistic approach.
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