{"title":"在线性标量势和全局单极的影响下，由标量指数势描述的球形量子点","authors":"K. Bakke","doi":"10.1209/0295-5075/ad3a9b","DOIUrl":null,"url":null,"abstract":"\n Based on the power-exponential potential, we study the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential. We show that the energy eigenvalues $s$-waves can be obtained from approximate solutions to the Schrödinger equation. Further, we consider the global monopole spacetime and study the topological effects of this spacetime background on the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential.","PeriodicalId":503117,"journal":{"name":"Europhysics Letters","volume":"57 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spherical quantum dot described by a scalar exponential potential under the influence of a linear scalar potential and a global monopole\",\"authors\":\"K. Bakke\",\"doi\":\"10.1209/0295-5075/ad3a9b\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n Based on the power-exponential potential, we study the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential. We show that the energy eigenvalues $s$-waves can be obtained from approximate solutions to the Schrödinger equation. Further, we consider the global monopole spacetime and study the topological effects of this spacetime background on the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential.\",\"PeriodicalId\":503117,\"journal\":{\"name\":\"Europhysics Letters\",\"volume\":\"57 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Europhysics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1209/0295-5075/ad3a9b\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Europhysics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad3a9b","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spherical quantum dot described by a scalar exponential potential under the influence of a linear scalar potential and a global monopole
Based on the power-exponential potential, we study the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential. We show that the energy eigenvalues $s$-waves can be obtained from approximate solutions to the Schrödinger equation. Further, we consider the global monopole spacetime and study the topological effects of this spacetime background on the confinement of a particle to a spherical quantum dot under the influence of a linear scalar potential.
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