in Strongly Correlated Electron Physics A DMFT 在强关联电子物理的龋齿问题课件.pptVIP

下载本文档

2
0
约3.17千字
约 30页
2018-06-19 发布于贵州
举报
版权申诉

in Strongly Correlated Electron Physics A DMFT 在强关联电子物理的龋齿问题课件.ppt

1、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。。
2、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
3、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。
4、该文档为VIP文档，如果想要下载，成为VIP会员后，下载免费。
5、成为VIP后，下载本文档将扣除1次下载权益。下载后，不支持退款、换文档。如有疑问请联系我们。
6、成为VIP后，您将拥有八大权益，权益包括：VIP文档下载权益、阅读免打扰、文档格式转换、高级专利检索、专属身份标志、高级客服、多端互通、版权登记。
7、VIP文档为合作方或网友上传，每下载1次，网站将根据用户上传文档的质量评分、类型等，对文档贡献者给予高额补贴、流量扶持。如果你也想贡献VIP文档。上传文档

Quasi-exactly solvable models in quantum mechanics and Lie algebras S. N. Dolya B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Outline 1. QES-extension (A) 2. quadratic QES - Lie algebras 3. physical applications 4. QES-extension (B) 5. cubic QES - Lie algebras sl2(R)-Hamiltonians What is being studied? Hamiltonians are formulated in terms of QES Lie algebras. hypergeometric function Two-photon Rabi Hamiltonian Two-photon Rabi Hamiltonian The two-photon Rabi Hamiltonian The two-photon Rabi Hamiltonian The two-photon Rabi Hamiltonian Example QES-extension: continuation QES-extension: continuation Example 6 ( QES Lie algebra ) QES-extension: continuation Example 6 ( QES Lie algebra ) Angular Momentum QES quadratic Lie algebra comparison 1 1 1 1 * * * S. N. Dolya JMP, 50 (2009) S. N. Dolya JMP, 49 (2008). S. N. Dolya O. B. Zaslavskii J. Phys. A: Math. Gen. 34 (2001) S. N. Dolya O. B. Zaslavskii J. Phys. A: Math. Gen. 34 (2001) S. N. Dolya O. B. Zaslavskii J. Phys. A: Math. Gen. 33 (2000) Representation: Invariant subspace Turbiner et al (partial algebraization) eigenvalues and eigenfunctions when possible. Invariant subspaces: How this is being studied? Nonlinear QES Lie algebras QES-extension: 0. our strategy We find a general form of the operator of the second order P2 for which subspace M2 = span{f1, f2} is preserved. We make extension of the subspace M2 → M4 = span{f1, f2, f3, f4} We find a general form of the operator of the second order P4 for which subspace M4 is preserved. we obtain the explicit form of operator P2(N+1) that acts on the elements of the subspace M2(N+1) = {f1,f2,…, f2(N+1)} QES-extension: ; I. Select the minimal invariant subspace Select the invariant operator Condition for the subspace M2 QES-extension: II. extension for the minimal invariant subspace Condition for the subspace M4 QES-extension: Conditions of the QES-extension: 1 2 Wronskian matrix III. Exte