{"title":"Laws of physical chemistry: a potential tool for generating some series and to evaluate their sum","authors":"Paulami Ghosh, Nabakumar Bera","doi":"10.1007/s10910-023-01572-7","DOIUrl":null,"url":null,"abstract":"<div><p>Laws of physical chemistry such as quantum mechanics, laws of chemical kinetics, and thermodynamics have been employed as a potential tool to generate some converging sum rules. Special emphasis has been given to Rayleigh–Schrödinger perturbation theory and the use of delta function potential to generate a number of sum rules.</p></div>","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":"62 4","pages":"865 - 886"},"PeriodicalIF":1.7000,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Chemistry","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1007/s10910-023-01572-7","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Laws of physical chemistry such as quantum mechanics, laws of chemical kinetics, and thermodynamics have been employed as a potential tool to generate some converging sum rules. Special emphasis has been given to Rayleigh–Schrödinger perturbation theory and the use of delta function potential to generate a number of sum rules.
期刊介绍：
The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches.
Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.
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