The quantum modes of the (1+1)-dimensional oscillators in general relativity
Ion I. Cot\u{a}escu, Ion I. Cot\u{a}escu Jr. (The West University, of Timi\c{s}oara, Romania)
TL;DR
This paper investigates the quantum modes of a novel class of relativistic oscillators in (1+1) dimensions using supersymmetry and shape invariance, deriving eigenfunctions and operators.
Contribution
It introduces a new approach to analyze relativistic oscillators by applying supersymmetry and shape invariance techniques to obtain explicit solutions.
Findings
Derived Rodrigues formulas for eigenfunctions
Established raising and lowering operators
Analyzed discrete energy spectra
Abstract
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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Taxonomy
TopicsQuantum optics and atomic interactions · Nonlinear Photonic Systems · Quantum Mechanics and Non-Hermitian Physics