In this paper, the introduction of a novel type of electron beams known as electron odd-Pearcey Gaussian beams (EOPGBs) is presented. For the first time, the dynamics of EOPGBs are explored propagating in both free space and a constant magnetic field by employing the Schrödinger equation. The investigation reveals that the electron beams exhibit remarkable auto-focusing characteristics in these two media, and the focal length can be controlled by adjusting certain parameters. Additionally, in a constant magnetic field, EOPGBs exhibit intriguing properties, notably the dual auto-focusing property, which sets them apart from other known electron beams. The probability currents and distribution factors are used to provide a theoretical explanation for the aforementioned features of EOPGBs. Furthermore, the conclusions are consistent with the results obtained from numerical simulations.
{"title":"Electron Odd-Pearcey Gaussian Beams Propagating In a Constant Magnetic Field","authors":"Xuezhen Cai, Huilin Tang, Haoyu Huang, Hailong Wu, Xingyi He, Yanru Chen, Dongmei Deng","doi":"10.1002/andp.202300529","DOIUrl":"10.1002/andp.202300529","url":null,"abstract":"<p>In this paper, the introduction of a novel type of electron beams known as electron odd-Pearcey Gaussian beams (EOPGBs) is presented. For the first time, the dynamics of EOPGBs are explored propagating in both free space and a constant magnetic field by employing the Schrödinger equation. The investigation reveals that the electron beams exhibit remarkable auto-focusing characteristics in these two media, and the focal length can be controlled by adjusting certain parameters. Additionally, in a constant magnetic field, EOPGBs exhibit intriguing properties, notably the dual auto-focusing property, which sets them apart from other known electron beams. The probability currents and distribution factors are used to provide a theoretical explanation for the aforementioned features of EOPGBs. Furthermore, the conclusions are consistent with the results obtained from numerical simulations.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"536 7","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140614344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The statistics of the position of an optically-trapped colloid immersed in a bacterial bath is prominently non-Gaussian. Costantino Di Bello, Rita Majumdar, Édgar Roldán, and coworkers (article number 2300427) develop an exactly-solvable theory for the fluctuations of a colloid in a diluted bacterial bath and explore its thermodynamic consequences. Fruits of their theory, they establish how can experimentalists infer the statistics of the forces exerted by the bacteria (often unaccessible experimentally) from the non-Gaussian features of the statistics of the colloid's position.