几种数值方法在含爆炸势的隧道效应问题中的表现

2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR) Pub Date : 2016-10-01 DOI:10.1109/VMNEYR.2016.7880400

A. Y. Antonov, Ya. I. Rusina

{"title":"几种数值方法在含爆炸势的隧道效应问题中的表现","authors":"A. Y. Antonov, Ya. I. Rusina","doi":"10.1109/VMNEYR.2016.7880400","DOIUrl":null,"url":null,"abstract":"The aim of this research is to study behavior of numerical methods for solving one-dimensional stationary Schr¨odinger equation. Two testing tasks are taken for example: the probability tunneling of the square potential barrier and “hyperbolic” potential barrier. The precision and speed of various methods were evaluated.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The behavior of some numerical methods in the problem of the tunnel effect with explosive potential\",\"authors\":\"A. Y. Antonov, Ya. I. Rusina\",\"doi\":\"10.1109/VMNEYR.2016.7880400\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this research is to study behavior of numerical methods for solving one-dimensional stationary Schr¨odinger equation. Two testing tasks are taken for example: the probability tunneling of the square potential barrier and “hyperbolic” potential barrier. The precision and speed of various methods were evaluated.\",\"PeriodicalId\":407958,\"journal\":{\"name\":\"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/VMNEYR.2016.7880400\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/VMNEYR.2016.7880400","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本研究的目的是研究求解一维平稳薛定谔方程的数值方法的行为。以两种测试任务为例:方形势垒和“双曲”势垒的概率隧穿。对各种方法的精度和速度进行了评价。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

The behavior of some numerical methods in the problem of the tunnel effect with explosive potential

The aim of this research is to study behavior of numerical methods for solving one-dimensional stationary Schr¨odinger equation. Two testing tasks are taken for example: the probability tunneling of the square potential barrier and “hyperbolic” potential barrier. The precision and speed of various methods were evaluated.

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

2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)

自引率

0.00%

发文量