{"title":"三维量子非谐振子的谱级数","authors":"M. Poteryakhin","doi":"10.1109/DD.2000.902365","DOIUrl":null,"url":null,"abstract":"We consider the problem of constructing spectral series of a three-dimensional Schrodinger operator. Our results deal with the properties (like stability, reducibility, etc.) of the family of Hill equations (ordinary differential equations of second order with periodic coefficients). These properties are investigated by analytical and numeric methods and the curious structure of the mentioned spectral series and related quasimodes is described.","PeriodicalId":184684,"journal":{"name":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","volume":"85 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spectral series of the three-dimensional quantum anharmonic oscillator\",\"authors\":\"M. Poteryakhin\",\"doi\":\"10.1109/DD.2000.902365\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the problem of constructing spectral series of a three-dimensional Schrodinger operator. Our results deal with the properties (like stability, reducibility, etc.) of the family of Hill equations (ordinary differential equations of second order with periodic coefficients). These properties are investigated by analytical and numeric methods and the curious structure of the mentioned spectral series and related quasimodes is described.\",\"PeriodicalId\":184684,\"journal\":{\"name\":\"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)\",\"volume\":\"85 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.2000.902365\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2000.902365","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spectral series of the three-dimensional quantum anharmonic oscillator
We consider the problem of constructing spectral series of a three-dimensional Schrodinger operator. Our results deal with the properties (like stability, reducibility, etc.) of the family of Hill equations (ordinary differential equations of second order with periodic coefficients). These properties are investigated by analytical and numeric methods and the curious structure of the mentioned spectral series and related quasimodes is described.
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