{"title":"刘维尔空间中的无障碍状态。应用于INSM-spin-12系统极化转移的自旋动力学普遍界的二维扩展","authors":"Niels Chr Nielsen , Ole W Sørensen","doi":"10.1016/0022-2364(92)90202-I","DOIUrl":null,"url":null,"abstract":"<div><p>The universal bound on spin dynamics is extended to two dimensions to describe which and how states in a two-dimensional Liouville subspace can be accessed by unitary transformations. The transfer of I-spin Zeeman order into S-spin Zeeman order for heteronuclear I<sub><em>N</em></sub>S<sub><em>M</em></sub> spin-<span><math><mtext>1</mtext><mtext>2</mtext></math></span> systems with <em>N</em> + <em>M</em> ⩽ 13 spins is analyzed in detail. These I<sub><em>N</em></sub>S<sub><em>M</em></sub> 2D bounds converge to the entropy bounds for spin systems with infinite numbers of I and S spin species but deviate significantly for finite numbers of spins.</p></div>","PeriodicalId":100800,"journal":{"name":"Journal of Magnetic Resonance (1969)","volume":"99 3","pages":"Pages 449-465"},"PeriodicalIF":0.0000,"publicationDate":"1992-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-2364(92)90202-I","citationCount":"10","resultStr":"{\"title\":\"Accessible states in Liouville space. A two-dimensional extension of the universal bound on spin dynamics applied to polarization transfer in INSM Spin-12 systems\",\"authors\":\"Niels Chr Nielsen , Ole W Sørensen\",\"doi\":\"10.1016/0022-2364(92)90202-I\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The universal bound on spin dynamics is extended to two dimensions to describe which and how states in a two-dimensional Liouville subspace can be accessed by unitary transformations. The transfer of I-spin Zeeman order into S-spin Zeeman order for heteronuclear I<sub><em>N</em></sub>S<sub><em>M</em></sub> spin-<span><math><mtext>1</mtext><mtext>2</mtext></math></span> systems with <em>N</em> + <em>M</em> ⩽ 13 spins is analyzed in detail. These I<sub><em>N</em></sub>S<sub><em>M</em></sub> 2D bounds converge to the entropy bounds for spin systems with infinite numbers of I and S spin species but deviate significantly for finite numbers of spins.</p></div>\",\"PeriodicalId\":100800,\"journal\":{\"name\":\"Journal of Magnetic Resonance (1969)\",\"volume\":\"99 3\",\"pages\":\"Pages 449-465\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0022-2364(92)90202-I\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Magnetic Resonance (1969)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/002223649290202I\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Magnetic Resonance (1969)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/002223649290202I","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Accessible states in Liouville space. A two-dimensional extension of the universal bound on spin dynamics applied to polarization transfer in INSM Spin-12 systems
The universal bound on spin dynamics is extended to two dimensions to describe which and how states in a two-dimensional Liouville subspace can be accessed by unitary transformations. The transfer of I-spin Zeeman order into S-spin Zeeman order for heteronuclear INSM spin- systems with N + M ⩽ 13 spins is analyzed in detail. These INSM 2D bounds converge to the entropy bounds for spin systems with infinite numbers of I and S spin species but deviate significantly for finite numbers of spins.
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