相空间中的衍射：由其动力学揭示的物质波的跳跃和扭结。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-03-01 DOI:10.1063/5.0260470

Gregor Finkbeiner, Maxim A Efremov, Robert F O'Connell, Wolfgang P Schleich

{"title":"相空间中的衍射：由其动力学揭示的物质波的跳跃和扭结。","authors":"Gregor Finkbeiner, Maxim A Efremov, Robert F O'Connell, Wolfgang P Schleich","doi":"10.1063/5.0260470","DOIUrl":null,"url":null,"abstract":"We show that a discontinuity either in a wave function or its derivative, corresponding to a jump or a kink, causes ripples in Wigner phase space. In the free time evolution, these structures give rise to interference fringes in the probability density represented in spacetime.","PeriodicalId":9974,"journal":{"name":"Chaos","volume":"35 3","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diffraction in phase space: Jumps and kinks in matter waves revealed by their dynamics.\",\"authors\":\"Gregor Finkbeiner, Maxim A Efremov, Robert F O'Connell, Wolfgang P Schleich\",\"doi\":\"10.1063/5.0260470\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that a discontinuity either in a wave function or its derivative, corresponding to a jump or a kink, causes ripples in Wigner phase space. In the free time evolution, these structures give rise to interference fringes in the probability density represented in spacetime.\",\"PeriodicalId\":9974,\"journal\":{\"name\":\"Chaos\",\"volume\":\"35 3\",\"pages\":\"\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2025-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chaos\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1063/5.0260470\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1063/5.0260470","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

我们证明了波函数或其导数中的不连续，对应于跳跃或扭结，会引起维格纳相空间中的波纹。在自由时间演化中，这些结构在时空表示的概率密度中产生干涉条纹。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Diffraction in phase space: Jumps and kinks in matter waves revealed by their dynamics.

We show that a discontinuity either in a wave function or its derivative, corresponding to a jump or a kink, causes ripples in Wigner phase space. In the free time evolution, these structures give rise to interference fringes in the probability density represented in spacetime.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.