在朗道哈密顿谱上被周期性平滑电势扰动

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI:10.1134/S0040577924120110

L. I. Danilov

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引用次数: 0

摘要

我们研究了具有周期电位的朗道哈密顿谱。在有理磁通量的情况下，我们提出了非恒定的零平均周期电势\({V\in C^{\infty}(\mathbb{R}^2;\mathbb{R})}\)的例子，其谱在第二朗道水平上具有特征值。

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On the spectrum of the Landau Hamiltonian perturbed by a periodic smooth electric potential

We study the spectrum of the Landau Hamiltonian with a periodic electric potential. In the case of a rational magnetic flux, we present examples of nonconstant zero-mean periodic electric potentials \({V\in C^{\infty}(\mathbb{R}^2;\mathbb{R})}\) for which the spectrum has an eigenvalue at the second Landau level.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.