{"title":"Density Fluctuations for Squeezed Number State and Coherent Squeezed Number State in Flat FRW Universe","authors":"Dhwani Gangal, Sudhava Yadav, K. K. Venkataratnam","doi":"10.1007/s10773-025-05948-0","DOIUrl":null,"url":null,"abstract":"<div><p>We study the density fluctuations for Coherent Squeezed Number State (CSNS) and Squeezed Number States (SNS) formalism in the Semiclassical theory of gravity in a flat FRW universe. We used the Number state evolution of the oscillatory phase of inflation for coherent squeezed number state and squeezed number state formalisms. We analyzed that density fluctuations for SNS depend upon squeezing parameter and number state while for CSNS density fluctuations depend upon squeezing parameter, number state, and coherent state parameter. These parameters play an important role in the quantum consideration of SNS and CSNS. The results of the analysis show that an increase in density fluctuations for both SNS and CSNS demonstrates the quantum behavior of SCEE as well as the production of various kinds of particles in these states.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 4","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-025-05948-0","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We study the density fluctuations for Coherent Squeezed Number State (CSNS) and Squeezed Number States (SNS) formalism in the Semiclassical theory of gravity in a flat FRW universe. We used the Number state evolution of the oscillatory phase of inflation for coherent squeezed number state and squeezed number state formalisms. We analyzed that density fluctuations for SNS depend upon squeezing parameter and number state while for CSNS density fluctuations depend upon squeezing parameter, number state, and coherent state parameter. These parameters play an important role in the quantum consideration of SNS and CSNS. The results of the analysis show that an increase in density fluctuations for both SNS and CSNS demonstrates the quantum behavior of SCEE as well as the production of various kinds of particles in these states.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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