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The three-dimensional Klein-Gordon oscillator is shown to exhibit an algebraic structure known from supersymmetric quantum mechanics. The supersymmetry is found to be unbroken with a vanishing Witten index, and it… Click to show full abstract
The three-dimensional Klein-Gordon oscillator is shown to exhibit an algebraic structure known from supersymmetric quantum mechanics. The supersymmetry is found to be 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 non-relativistic harmonic oscillator in three dimensions. Supersymmetry also enables us to derive a closed-form expression for the energy-dependent Green’s function.
Keywords:
supersymmetry klein;
oscillator;
gordon oscillator;
klein gordon
Journal Title: Symmetry
Year Published: 2021
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!