{"title":"关于JWKB近似的评论","authors":"R. Forbes","doi":"10.1109/IVNC.2006.335309","DOIUrl":null,"url":null,"abstract":"The JWKB approximation involved in standard Fowler-Nordheim theory approximates a \"quasi-classical potential energy\" describing a tunneling probability for an electron approaching a tunneling barrier. Some comments regarding the adequacy of this approximation method are made and the principle of restoring a \"pre-factor\" into the tunneling probability approximation is argued. JWKB approximation is shown to be applicable in normal circumstances of cold field electron emission","PeriodicalId":108834,"journal":{"name":"2006 19th International Vacuum Nanoelectronics Conference","volume":"87 23","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comments on the JWKB Approximation\",\"authors\":\"R. Forbes\",\"doi\":\"10.1109/IVNC.2006.335309\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The JWKB approximation involved in standard Fowler-Nordheim theory approximates a \\\"quasi-classical potential energy\\\" describing a tunneling probability for an electron approaching a tunneling barrier. Some comments regarding the adequacy of this approximation method are made and the principle of restoring a \\\"pre-factor\\\" into the tunneling probability approximation is argued. JWKB approximation is shown to be applicable in normal circumstances of cold field electron emission\",\"PeriodicalId\":108834,\"journal\":{\"name\":\"2006 19th International Vacuum Nanoelectronics Conference\",\"volume\":\"87 23\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 19th International Vacuum Nanoelectronics Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IVNC.2006.335309\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 19th International Vacuum Nanoelectronics Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IVNC.2006.335309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The JWKB approximation involved in standard Fowler-Nordheim theory approximates a "quasi-classical potential energy" describing a tunneling probability for an electron approaching a tunneling barrier. Some comments regarding the adequacy of this approximation method are made and the principle of restoring a "pre-factor" into the tunneling probability approximation is argued. JWKB approximation is shown to be applicable in normal circumstances of cold field electron emission