{"title":"复杂HVPT和超渐近","authors":"J. Killingbeck, A. Grosjean, G. Jolicard","doi":"10.1088/0305-4470/39/34/L01","DOIUrl":null,"url":null,"abstract":"Complex hypervirial perturbation theory (HVPT) is applied to the problem of a harmonic oscillator with a perturbation gx3exp(iφ), for which the traditional Rayleigh–Schodinger perturbation theory has to be supplemented by hyperasymptotics for obtaining accurate resonance energies in the negative φ region. Complex HVPT gives accurate results for positive φ and for negative φ up to about . The case of a quartic perturbed oscillator is also treated.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Complex HVPT and hyperasymptotics\",\"authors\":\"J. Killingbeck, A. Grosjean, G. Jolicard\",\"doi\":\"10.1088/0305-4470/39/34/L01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Complex hypervirial perturbation theory (HVPT) is applied to the problem of a harmonic oscillator with a perturbation gx3exp(iφ), for which the traditional Rayleigh–Schodinger perturbation theory has to be supplemented by hyperasymptotics for obtaining accurate resonance energies in the negative φ region. Complex HVPT gives accurate results for positive φ and for negative φ up to about . The case of a quartic perturbed oscillator is also treated.\",\"PeriodicalId\":87442,\"journal\":{\"name\":\"Journal of physics A: Mathematical and general\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of physics A: Mathematical and general\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/39/34/L01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/34/L01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Complex hypervirial perturbation theory (HVPT) is applied to the problem of a harmonic oscillator with a perturbation gx3exp(iφ), for which the traditional Rayleigh–Schodinger perturbation theory has to be supplemented by hyperasymptotics for obtaining accurate resonance energies in the negative φ region. Complex HVPT gives accurate results for positive φ and for negative φ up to about . The case of a quartic perturbed oscillator is also treated.
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