Jackiw-Rebbi孤子的非相对论表示

Q4 Social Sciences

Revista Mexicana De Fisica E Pub Date : 2023-06-28 DOI:10.31349/revmexfise.20.020501

D. Valenzuela, Julio César Pérez Pedraza, A. Raya

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引用次数: 0

摘要

我们考虑Dirac方程的Foldy-Whouthuysen (FW)变换耦合到一个背景孤子场，该背景孤子场等效于一个位置相关的质量(x)，使得在x→±∞的每个极限处，向左和向右的质量趋向于一个(可能不同的)常数，两侧有一个符号差。然后，我们建立了一个三阶单变换Schrödinger-like哈密顿函数，作为与著名的Jackiw-Rebbi模型对应的对应函数。通过进一步对狄拉克旋量进行fw变换，我们建立了非相对论性和相对论性波函数之间的关系，对于一般的依赖于位置的质量剖面，其近似达到这个阶。对于经济选择m(x) = m0x/|x|，我们发现这些旋量直到一个整体常数是相同的。

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Non-relativistic representation of the Jackiw-Rebbi soliton

We consider the Foldy-Whouthuysen (FW) transformation of the Dirac equation coupled to a background soliton field which is equivalent to a position-dependent massm(x) such that at each limit x → ±∞, the mass to the left and to the right tends to a (possibly different) constant, with a sign difference at each side. We then build-up a third order unitarily transformed Schrödinger-like Hamiltonian as a counterpart of the corresponding to the well known Jackiw-Rebbi model. By further FW-transforming the Dirac spinor, we establish the relation between the non-relativistic and relativistic wave functions up to this order of approximation for generic position dependent mass profiles. For the economic choice m(x) = m0x/|x|, we find that these spinors are the same up to an overall constant.

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来源期刊

Revista Mexicana De Fisica E 社会科学-科学史与科学哲学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Revista Mexicana de Física (Rev. Mex. Fis.) publishes original papers of interest to our readers from the physical science com unity. Language may be English or Spanish, however, given the nature of our readers, English is recommended. Articles are classified as follows: Research. Articles reporting original results in physical science. Instrumentation. Articles reporting original contributions on design and construction of scientific instruments. They should present new instruments and techniques oriented to physical science problems solutions. They must also report measurements performed with the described instrument. Reviews. Critical surveys of specific physical science topics in which recent published information is analyzed and discussed. They should be accessible to physics graduate students and non specialists, and provide valuable bibliography to the specialist. Comments. Short papers (four pages maximum) that assess critically papers by others authors previously published in the Revista Mexicana de Física. A comment should state clearly to which paper it refers.