Revisiting the Charged Harmonic Oscillator in a Uniform Electric Field

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Foundations of Physics Pub Date : 2024-09-02 DOI:10.1007/s10701-024-00796-0

K. Bakke

引用次数: 0

Abstract

We discuss the two-dimensional harmonic oscillator in the presence of a uniform radial electric field around a cylindrical cavity. By including the Aharonov-Bohm flux and by assuming the existence and the absence of an infinity wall located at the radius of the cylindrical cavity, we show that bound states can be achieved around the cylindrical cavity in this two-dimensional charged harmonic oscillator in a uniform radial electric field.

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重新审视均匀电场中的带电谐振子

我们讨论了在圆柱形空腔周围存在均匀径向电场的情况下的二维谐波振荡器。通过将阿哈诺夫-玻姆磁通量包括在内，并假设位于圆柱形空腔半径处的无穷大壁存在和不存在，我们证明了在均匀径向电场中的二维带电谐振子可以在圆柱形空腔周围实现束缚态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Foundations of Physics 物理-物理：综合

CiteScore

2.70

自引率

6.70%

发文量

104

审稿时长

6-12 weeks

期刊介绍： The conceptual foundations of physics have been under constant revision from the outset, and remain so today. Discussion of foundational issues has always been a major source of progress in science, on a par with empirical knowledge and mathematics. Examples include the debates on the nature of space and time involving Newton and later Einstein; on the nature of heat and of energy; on irreversibility and probability due to Boltzmann; on the nature of matter and observation measurement during the early days of quantum theory; on the meaning of renormalisation, and many others. Today, insightful reflection on the conceptual structure utilised in our efforts to understand the physical world is of particular value, given the serious unsolved problems that are likely to demand, once again, modifications of the grammar of our scientific description of the physical world. The quantum properties of gravity, the nature of measurement in quantum mechanics, the primary source of irreversibility, the role of information in physics – all these are examples of questions about which science is still confused and whose solution may well demand more than skilled mathematics and new experiments. Foundations of Physics is a privileged forum for discussing such foundational issues, open to physicists, cosmologists, philosophers and mathematicians. It is devoted to the conceptual bases of the fundamental theories of physics and cosmology, to their logical, methodological, and philosophical premises. The journal welcomes papers on issues such as the foundations of special and general relativity, quantum theory, classical and quantum field theory, quantum gravity, unified theories, thermodynamics, statistical mechanics, cosmology, and similar.