{"title":"核结构的代数和集体模型中的量子相变","authors":"L. Fortunato","doi":"10.1016/j.ppnp.2021.103891","DOIUrl":null,"url":null,"abstract":"<div><p><span>Quantum Phase Transitions arising in algebraic and collective models of nuclear structure are reviewed. The concept of quantum phases and phase transitions is described as well as those of critical point symmetries and quasi-dynamical symmetries. Algebraic and collective models are compared and the connections between them are explored. Differences between even–even and odd–even systems are discussed. Several applications of critical point symmetries are given in both the even and odd sectors. Details of the spherical to </span><span><math><mrow><mi>γ</mi><mo>−</mo></mrow></math></span>unstable and spherical to axially deformed quantum shape phase transition are covered in some detail as well as other transitions and alternative approaches.</p></div>","PeriodicalId":412,"journal":{"name":"Progress in Particle and Nuclear Physics","volume":"121 ","pages":"Article 103891"},"PeriodicalIF":14.5000,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ppnp.2021.103891","citationCount":"12","resultStr":"{\"title\":\"Quantum phase transitions in algebraic and collective models of nuclear structure\",\"authors\":\"L. Fortunato\",\"doi\":\"10.1016/j.ppnp.2021.103891\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p><span>Quantum Phase Transitions arising in algebraic and collective models of nuclear structure are reviewed. The concept of quantum phases and phase transitions is described as well as those of critical point symmetries and quasi-dynamical symmetries. Algebraic and collective models are compared and the connections between them are explored. Differences between even–even and odd–even systems are discussed. Several applications of critical point symmetries are given in both the even and odd sectors. Details of the spherical to </span><span><math><mrow><mi>γ</mi><mo>−</mo></mrow></math></span>unstable and spherical to axially deformed quantum shape phase transition are covered in some detail as well as other transitions and alternative approaches.</p></div>\",\"PeriodicalId\":412,\"journal\":{\"name\":\"Progress in Particle and Nuclear Physics\",\"volume\":\"121 \",\"pages\":\"Article 103891\"},\"PeriodicalIF\":14.5000,\"publicationDate\":\"2021-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.ppnp.2021.103891\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress in Particle and Nuclear Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0146641021000508\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Particle and Nuclear Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0146641021000508","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
Quantum phase transitions in algebraic and collective models of nuclear structure
Quantum Phase Transitions arising in algebraic and collective models of nuclear structure are reviewed. The concept of quantum phases and phase transitions is described as well as those of critical point symmetries and quasi-dynamical symmetries. Algebraic and collective models are compared and the connections between them are explored. Differences between even–even and odd–even systems are discussed. Several applications of critical point symmetries are given in both the even and odd sectors. Details of the spherical to unstable and spherical to axially deformed quantum shape phase transition are covered in some detail as well as other transitions and alternative approaches.
期刊介绍:
Taking the format of four issues per year, the journal Progress in Particle and Nuclear Physics aims to discuss new developments in the field at a level suitable for the general nuclear and particle physicist and, in greater technical depth, to explore the most important advances in these areas. Most of the articles will be in one of the fields of nuclear physics, hadron physics, heavy ion physics, particle physics, as well as astrophysics and cosmology. A particular effort is made to treat topics of an interface type for which both particle and nuclear physics are important. Related topics such as detector physics, accelerator physics or the application of nuclear physics in the medical and archaeological fields will also be treated from time to time.