Fisher information in confined isotropic harmonic oscillator

机译：限制各向同性谐波振荡器的Fisher信息

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Abstract > Fisher information ( I ) is investigated in a confined harmonic oscillator (CHO) enclosed in a spherical enclosure, in conjugate r and p spaces. A comparative study between CHO and a free quantum particle in spherical box (PISB), as well as CHO and respective free harmonic oscillator (FHO) is pursued with respect to energy spectrum and I . This reveals that, a CHO offers two exactly solvable limits, namely, a PISB and an FHO. Moreover, the dependence of I on quantum numbers type="mathematics"> n <sub> r </sub> , l , m in FHO and CHO are analogous. The role of force constant is discussed. Further, a thorough systematic analysis of I with respect to variation of confinement radius r <sub> c </sub> is presented, with particular attention on nonzero‐( l , m ) states. Considerable new important observations are recorded. The results are quite accurate and most of these are presented for the first time. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“main”XML：Lang =“en”> <标题类型=“main”>抽象</ title> > Fisher信息（ i </ i>）在一个密闭的谐波振荡器中调查（CHO）封闭在球形外壳中，在缀合物中 R </ i>和 P </ i>空间。对球形箱（PISB）中的CHO和自由量子颗粒的比较研究以及CHO和各自的自由谐波振荡器（FHO）追求能量谱和<I> I> I>。这表明，CHO提供了两个完全可溶性的限制，即PISB和FHO。此外， i </ i>在量子号 type =“数学”> n </ i> <sub> r </ i> </ sub>上的依赖性 i </ i>的依赖性。<i在FHO和CHO中的</ i>， m </ i> </ span>类似。讨论了力常数的作用。此外，提出了对限制半径的变化的彻底系统分析 r r r r <s shiO> c <s sog> </ sub>注意非零（ l </ i>， m </ i>）状态。记录了相当大的新的重要观察。结果非常准确，其中大部分都是第一次呈现。 </ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-21753/'>《International Journal of Quantum Chemistry》</a> <b style="margin: 0 2px;">|</b><span>2018年第21期</span><b style="margin: 0 2px;">|</b><span>共9页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mukherjee Neetik&option=202" target="_blank" rel="nofollow">Mukherjee Neetik;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Roy Amlan K.&option=202" target="_blank" rel="nofollow">Roy Amlan K.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Chemical Sciences Indian Institute of Science Education and Research (IISER) KolkataNadia WB India;</p> <p>Department of Chemical Sciences Indian Institute of Science Education and Research (IISER) KolkataNadia WB India;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1186.html" title="物理化学（理论化学）、化学物理学">物理化学（理论化学）、化学物理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=confined isotropic harmonic oscillator&option=203" rel="nofollow">confined isotropic harmonic oscillator;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fisher information&option=203" rel="nofollow">Fisher information;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=particle in a spherical box&option=203" rel="nofollow">particle in a spherical box;</a> </p> <div class="translation"> 机译：限制各向同性谐波振荡器;Fisher信息;粒子在球形盒子里; 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