Scholarlink

Abstract <p> We consider the semi-Dirac operator in a half-space arising in the description of quasi-particles in quantum mechanics as well as in semi-metal materials and related structures. We prove the self-adjointness, compute the formula for the square, and determine the spectrum of the operator. We additionally set up necessary and sufficient conditions for the existence of a discrete energy spectrum by including some appropriate purely magnetic and electromagnetic potentials and study the spectral stability properties for perturbed operators. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Spectral properties of two-dimensional half-space semi-Dirac semi-metals

  • 期刊论文

  • 发表日期：

    2026年4月23日

查看全文
  • T. Vu

摘要

Abstract

We consider the semi-Dirac operator in a half-space arising in the description of quasi-particles in quantum mechanics as well as in semi-metal materials and related structures. We prove the self-adjointness, compute the formula for the square, and determine the spectrum of the operator. We additionally set up necessary and sufficient conditions for the existence of a discrete energy spectrum by including some appropriate purely magnetic and electromagnetic potentials and study the spectral stability properties for perturbed operators.