Email this article Quantum-Mechanical Problems Geometrically Represented within Virtual Ring Theory
- Authors: Yefremov A.P.1
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Affiliations:
- Institute of Gravitation and Cosmology
- Issue: Vol 24, No 3 (2018)
- Pages: 220-223
- Section: Article
- URL: https://ogarev-online.ru/0202-2893/article/view/176195
- DOI: https://doi.org/10.1134/S0202289318030131
- ID: 176195
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Abstract
Virtual Ring Theory implies replacement of a particle with a ghost ring endowed with certain standards that are used to measure distances and mechanical characteristics in integer numbers. This model is applied to three “classical” quantum-mechanical (QM) problems, 1D-box system, H-atom, and linear oscillator. It is shown that the relevant virtual geometric models entail the same energy levels as follow from the respective exact solutions of the Schrödinger equation.
About the authors
A. P. Yefremov
Institute of Gravitation and Cosmology
Author for correspondence.
Email: a.yefremov@rudn.ru
Russian Federation, ul. Miklukho-Maklaya 6, Moscow, 117198
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