{"title":"量子化场论的精确解","authors":"P. Burt, J. L. Reid","doi":"10.1088/0305-4470/5/9/003","DOIUrl":null,"url":null,"abstract":"Exact solutions to a class of one dimensional quantum field theories described by the field equations d2 phi /dt2+m2 phi + lambda phi 2q+1=0, q not=0, -1, and by boson commutation relations are given. For the special case q=1 explicit solutions are discussed. The solutions describe self- interacting systems for all times and contain arbitrary negative powers of m2.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"1972-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Exact solutions to quantized field theories\",\"authors\":\"P. Burt, J. L. Reid\",\"doi\":\"10.1088/0305-4470/5/9/003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Exact solutions to a class of one dimensional quantum field theories described by the field equations d2 phi /dt2+m2 phi + lambda phi 2q+1=0, q not=0, -1, and by boson commutation relations are given. For the special case q=1 explicit solutions are discussed. The solutions describe self- interacting systems for all times and contain arbitrary negative powers of m2.\",\"PeriodicalId\":54612,\"journal\":{\"name\":\"Physics-A Journal of General and Applied Physics\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1972-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics-A Journal of General and Applied Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/0305-4470/5/9/003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics-A Journal of General and Applied Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/5/9/003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exact solutions to a class of one dimensional quantum field theories described by the field equations d2 phi /dt2+m2 phi + lambda phi 2q+1=0, q not=0, -1, and by boson commutation relations are given. For the special case q=1 explicit solutions are discussed. The solutions describe self- interacting systems for all times and contain arbitrary negative powers of m2.