M. Rudan, A. Gnudi, E. Gnani, S. Reggiani, G. Baccarani
{"title":"提高Schrödinger-Poisson溶液在cnw和CNTs中的准确性","authors":"M. Rudan, A. Gnudi, E. Gnani, S. Reggiani, G. Baccarani","doi":"10.1109/SISPAD.2010.5604497","DOIUrl":null,"url":null,"abstract":"The Schrödinger equation, or the coupled Schrödinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.","PeriodicalId":331098,"journal":{"name":"2010 International Conference on Simulation of Semiconductor Processes and Devices","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Improving the accuracy of the Schrödinger-Poisson solution in CNWs and CNTs\",\"authors\":\"M. Rudan, A. Gnudi, E. Gnani, S. Reggiani, G. Baccarani\",\"doi\":\"10.1109/SISPAD.2010.5604497\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Schrödinger equation, or the coupled Schrödinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.\",\"PeriodicalId\":331098,\"journal\":{\"name\":\"2010 International Conference on Simulation of Semiconductor Processes and Devices\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-10-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Simulation of Semiconductor Processes and Devices\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SISPAD.2010.5604497\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Simulation of Semiconductor Processes and Devices","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SISPAD.2010.5604497","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Improving the accuracy of the Schrödinger-Poisson solution in CNWs and CNTs
The Schrödinger equation, or the coupled Schrödinger and Poisson equations, are transformed into an integral equation. Back-substituting from the original equations allows one to approximate the numerical corrections to any order without the need of calculating derivatives of the unknown function of order larger than one. Typical applications are in the numerical analysis of quantum transport in nanowires and nanotubes in the ballistic regime.