{"title":"具有次二次势的时间相关Schrödinger方程解的奇异性","authors":"Keiichi Kato, S. Ito","doi":"10.55937/sut/1424698856","DOIUrl":null,"url":null,"abstract":"In this article, we determine the wave front sets of solutions to time dependent Schr\\\"odinger equations with a sub-quadratic potential by using the representation of the Schr\\\"dingier evolution operator via wave packet transform (short time Fourier transform).","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Singularities for solutions to time dependent Schrödinger equations with sub-quadratic potential\",\"authors\":\"Keiichi Kato, S. Ito\",\"doi\":\"10.55937/sut/1424698856\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we determine the wave front sets of solutions to time dependent Schr\\\\\\\"odinger equations with a sub-quadratic potential by using the representation of the Schr\\\\\\\"dingier evolution operator via wave packet transform (short time Fourier transform).\",\"PeriodicalId\":38708,\"journal\":{\"name\":\"SUT Journal of Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SUT Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55937/sut/1424698856\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1424698856","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Singularities for solutions to time dependent Schrödinger equations with sub-quadratic potential
In this article, we determine the wave front sets of solutions to time dependent Schr\"odinger equations with a sub-quadratic potential by using the representation of the Schr\"dingier evolution operator via wave packet transform (short time Fourier transform).