{"title":"Statistical properties of the 𝒜κ<0 Weyl–Heisenberg algebra coherent states","authors":"M. Alaoui, E. Mouhaoui, B. Maroufi, M. Daoud","doi":"10.1142/s021773232450024x","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we study the one-parameter <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>κ</mi></math></span><span></span>-generalized oscillator algebra <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"cal\">𝒜</mi></mrow><mrow><mi>κ</mi></mrow></msub></math></span><span></span> (which includes the case of the standard Weyl–Heisenberg algebra). This algebra admits representations of finite-dimensional for negative values of the parameter <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><mi>κ</mi></math></span><span></span>. We construct the associated Perelomov like coherent states. We discuss their statistical properties. In particular, we derive the expressions of the Mandel parameter and Husimi function and we discuss the squeezing of the <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"cal\">𝒜</mi></mrow><mrow><mi>κ</mi></mrow></msub></math></span><span></span> coherent states.</p>","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s021773232450024x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we study the one-parameter -generalized oscillator algebra (which includes the case of the standard Weyl–Heisenberg algebra). This algebra admits representations of finite-dimensional for negative values of the parameter . We construct the associated Perelomov like coherent states. We discuss their statistical properties. In particular, we derive the expressions of the Mandel parameter and Husimi function and we discuss the squeezing of the coherent states.
期刊介绍:
This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.