# Two-dimensional Klein-Gordon Oscillator in the presence of a minimal length

## TL;DR

This paper explores the effects of a minimal length on a two-dimensional Klein-Gordon oscillator, deriving energy eigenvalues and wave functions in momentum space, highlighting modifications to quantum behavior due to minimal length considerations.

## Contribution

It introduces a novel analysis of the Klein-Gordon oscillator incorporating minimal length, providing explicit solutions for energy levels and wave functions in momentum space.

## Key findings

- Energy eigenvalues are explicitly calculated.
- Wave functions are expressed in hyper-geometric functions.
- Minimal length impacts the quantum properties of the oscillator.

## Abstract

Minimal length of a two-dimensional Klein-Gordon oscillator is investigated and illustrates the wave functions in the momentum space. The energy eigenvalues are found and the corresponding wave functions are calculated in terms of hyper-geometric functions.