On the Supersymmetry of the Klein-Gordon Oscillator

@article{Junker2021OnTS,
  title={On the Supersymmetry of the Klein-Gordon Oscillator},
  author={Georg Junker},
  journal={Symmetry},
  year={2021},
  volume={13},
  pages={835}
}
The three-dimensional Klein–Gordon oscillator exhibits an algebraic structure known from supersymmetric quantum mechanics. The supersymmetry is unbroken with a vanishing Witten index, and it is utilized to derive the spectral properties of the Klein–Gordon oscillator, which is closely related to that of the nonrelativistic harmonic oscillator in three dimensions. Supersymmetry also enables us to derive a closed-form expression for the energy-dependent Green’s function. 
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Special Issue: "Symmetries in Quantum Mechanics and Statistical Physics"
TLDR
Symmetry is a fundamental concept in science and has played a significant role since the early days of quantum physics, particularly in the field of relativity.

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