非相对论费米场在外部势中的静止能量效应

IF 1.7 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-06-16 DOI:10.1007/s10773-025-06048-9

Fuad M. Saradzhev

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引用次数: 0

摘要

利用广义l -莱布隆德方程（GLL）研究了非相对论费米场的束缚态问题。确定了剩余能量项可以从GLL方程中去除的条件。对于不符合条件的外势，束缚态谱受费米场的剩余能量的影响很大。对于有限深度的球形井来说，这一点得到了证明。束缚态的存在、数量和能量取决于剩余能量的值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Rest Energy Effects for Non-relativistic Fermi Fields in External Potentials

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Rest Energy Effects for Non-relativistic Fermi Fields in External Potentials

The generalized Lévy-Leblond equation (GLL) is used to study the bound state problem for a non-relativistic Fermi field in external potentials. A condition when the rest energy term can be removed from the GLL equation is determined. For external potentials which do not obey the condition, the bound state spectrum is affected non-trivially by the rest energy of the Fermi field. This is demonstrated for a spherical finite-depth well potential. The existence, number, and energies of bound states depend on the value of the rest energy.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.