{"title":"重温贝特的波函数","authors":"Jacob Szeftel, Jean-Claude Lévy","doi":"10.1007/s10948-024-06814-6","DOIUrl":null,"url":null,"abstract":"<div><p>The <i>scattering</i> eigenstates of <i>any</i> Hamiltonian of electrons, coupled through a two-body force and moving on a one-dimensional lattice, are shown to be Bethe’s wave-functions. The energy of the groundstate is compared with values, obtained previously for the Hubbard Hamiltonian thanks to another Bethe’s wave-function-based procedure and within the framework of the correlated Fermi gas. The same analysis is applied to electrons, interacting on neighbouring sites. The significance of those various groundstates is assessed with help of thermodynamics.</p></div>","PeriodicalId":669,"journal":{"name":"Journal of Superconductivity and Novel Magnetism","volume":"37 8-10","pages":"1371 - 1379"},"PeriodicalIF":1.6000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bethe’s Wave-Function Revisited\",\"authors\":\"Jacob Szeftel, Jean-Claude Lévy\",\"doi\":\"10.1007/s10948-024-06814-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The <i>scattering</i> eigenstates of <i>any</i> Hamiltonian of electrons, coupled through a two-body force and moving on a one-dimensional lattice, are shown to be Bethe’s wave-functions. The energy of the groundstate is compared with values, obtained previously for the Hubbard Hamiltonian thanks to another Bethe’s wave-function-based procedure and within the framework of the correlated Fermi gas. The same analysis is applied to electrons, interacting on neighbouring sites. The significance of those various groundstates is assessed with help of thermodynamics.</p></div>\",\"PeriodicalId\":669,\"journal\":{\"name\":\"Journal of Superconductivity and Novel Magnetism\",\"volume\":\"37 8-10\",\"pages\":\"1371 - 1379\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Superconductivity and Novel Magnetism\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10948-024-06814-6\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Superconductivity and Novel Magnetism","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10948-024-06814-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
The scattering eigenstates of any Hamiltonian of electrons, coupled through a two-body force and moving on a one-dimensional lattice, are shown to be Bethe’s wave-functions. The energy of the groundstate is compared with values, obtained previously for the Hubbard Hamiltonian thanks to another Bethe’s wave-function-based procedure and within the framework of the correlated Fermi gas. The same analysis is applied to electrons, interacting on neighbouring sites. The significance of those various groundstates is assessed with help of thermodynamics.
期刊介绍:
The Journal of Superconductivity and Novel Magnetism serves as the international forum for the most current research and ideas in these fields. This highly acclaimed journal publishes peer-reviewed original papers, conference proceedings and invited review articles that examine all aspects of the science and technology of superconductivity, including new materials, new mechanisms, basic and technological properties, new phenomena, and small- and large-scale applications. Novel magnetism, which is expanding rapidly, is also featured in the journal. The journal focuses on such areas as spintronics, magnetic semiconductors, properties of magnetic multilayers, magnetoresistive materials and structures, magnetic oxides, etc. Novel superconducting and magnetic materials are complex compounds, and the journal publishes articles related to all aspects their study, such as sample preparation, spectroscopy and transport properties as well as various applications.