Scholarlink

<p>We consider a system of three particles with identical mass interacting via short-range potentials, such that two of the particles are on parallel lines in a plane and the third one is on a line perpendicular to this plane. In this geometry, we prove that the corresponding Schrödinger operator only has a finite number of eigenvalues under physically reasonable assumptions on the decay of the interaction potentials. Our result disproves a recent prediction made in physics literature.</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

Absence of the confinement–induced Efimov effect: a direct proof in a specific geometry

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月17日

查看全文
  • Marvin R. Schulz,
  • Sylvain Zalczer

摘要

We consider a system of three particles with identical mass interacting via short-range potentials, such that two of the particles are on parallel lines in a plane and the third one is on a line perpendicular to this plane. In this geometry, we prove that the corresponding Schrödinger operator only has a finite number of eigenvalues under physically reasonable assumptions on the decay of the interaction potentials. Our result disproves a recent prediction made in physics literature.