A Series of Spectral Gaps for the Ganeshan–Pixley–Das Sarma Model

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-02-09 DOI:10.1134/S1061920824040046

A. Fedotov, K. Sedov

引用次数: 0

Abstract

We study a one-dimensional quasiperiodic difference Schrödinger operator with a potential obtained by restricting a certain meromorphic function to the integer lattice. Assuming that the coupling constant is sufficiently small, we asymptotically describe a series of intervals contained in spectral gaps, their centers, and lengths. The lengths of these intervals decrease exponentially as their number increases, and the rate of their decrease is determined by the distance from the poles of the potential to the real axis.

DOI 10.1134/S1061920824040046

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Ganeshan-Pixley-Das Sarma模型的一系列谱隙

研究了一类一维拟周期差分Schrödinger算子，该算子的势是通过将某亚纯函数限定在整数格上得到的。假设耦合常数足够小，我们渐近地描述了一系列包含在谱隙中的区间，它们的中心和长度。这些间隔的长度随着其数量的增加呈指数递减，其递减的速率由电位极点到实轴的距离决定。DOI 10.1134 / S1061920824040046

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

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.