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A (1+3) Relativistic Harmonic Oscillator Simulated by an Anti-de Sitter Background

D. J. Navarro·J. Navarro-Salas
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Abstract

It is shown that a static $(1+3)$ anti-de Sitter metric defines, in a natural way, a relativistic harmonic oscillator in Minkowski space. The quantum theory can be solved exactly and leads to wave functions having a significantly different behaviour with respect to the non-relativistic ones. The energy spectrum coincides, up to the ground state energy, with that of the non-relativistic oscillator.

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D. J. Navarro, J. Navarro-Salas. 1994-09-12. A (1+3) Relativistic Harmonic Oscillator Simulated by an Anti-de Sitter Background. https://arxiv.org/abs/hep-th/9406001

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