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arxiv: gr-qc/0003095 · v1 · submitted 2000-03-24 · 🌀 gr-qc

The quantum modes of the (1+1)-dimensional oscillators in general relativity

classification 🌀 gr-qc
keywords dimensionalmodesoscillatorsquantumrelativisticcorrespondingdiscreteeigenfunctions
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The quantum modes of a new family of relativistic oscillators are studied by using the supersymmetry and shape invariance in a version suitable for (1+1) dimensional relativistic systems. In this way one obtains the Rodrigues formulas of the normalized energy eigenfunctions of the discrete spectra and the corresponding rising and lowering operators. Pacs: 04.62.+v, 03.65.Ge

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