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. 
1 Citations
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.

References

SHOWING 1-10 OF 35 REFERENCES
The Klein-Gordon oscillator
SummaryWe consider a new type of linear interaction in the Klein-Gordon equation. Under minimal substitution the wave equation becomes quadratic in both the momentum and the coordinates,viz. a
Symmetry Lie algebra of the Dirac oscillator
Recently the name Dirac oscillator was given to a Dirac equation in which both the momenta and the coordinates appear linearly. In the non-relativistic limit, the equation satisfied by the large
Relativistic quantum oscillators in the global monopole spacetime
We investigated the effects of the global monopole spacetime on the Dirac and Klein–Gordon relativistic quantum oscillators. In order to do this, we solve the Dirac and Klein–Gordon equations
The Klein Gordon and the Dirac Oscillators in a Noncommutative Space
We study the Dirac and the Klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a
The generalized Klein–Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza–Klein theory
In this work, we study the generalized Klein–Gordon oscillator with interactions on a curved background within the Kaluza–Klein theory. We solve the generalized Klein–Gordon oscillator in the cosmic
Energy profile of the one-dimensional Klein–Gordon oscillator
In the present paper, we describe a method of introducing the harmonic oscillator potential into the Klein–Gordon equation, leading to genuine bound states. The eigenfunctions and eigenenergies are
Klein–Gordon Oscillator in a Topologically Nontrivial Space-Time
In this study, we analyze solutions of the wave equation for scalar particles in a space-time with nontrivial topology. Solutions for the Klein–Gordon oscillator are found considering two
Notes on Oscillator-Like Interactions of Various Spin Relativistic Particles
The equations for various spin particles with oscillator-like interactions are discussed in this talk. Contents: 1. Comment on "The Klein-Gordon Oscillator"; 2. The Dirac oscillator in quaternion
Comment on 'Energy profile of the one-dimensional Klein–Gordon oscillator'
The correct energy profile of the one-dimensional Klein–Gordon oscillator, discussed by Rao and Kagali (2008 Phys. Scr. 77 015003), is obtained here by the prescription of Mirza and Mohadesi (2004
The Dirac oscillator
Dirac's free particle equation originated in an attempt to express linearly the relativistic quadratic relation between energy and momentum. The authors introduce a Dirac equation which, besides the
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