Generalized spin precession equations
The Bloch equations, which describe spin precession and relaxation in external magnetic fields, can be generalized to include the evolution of polarization tensors of various ranks in arbitrary multipole fields. We show applications of the generalized spin precession equations using simple examples...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/5/053050 |
| _version_ | 1827874209635762176 |
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| author | Hans-Jürgen Stöckmann Dirk Dubbers |
| author_facet | Hans-Jürgen Stöckmann Dirk Dubbers |
| author_sort | Hans-Jürgen Stöckmann |
| collection | DOAJ |
| description | The Bloch equations, which describe spin precession and relaxation in external magnetic fields, can be generalized to include the evolution of polarization tensors of various ranks in arbitrary multipole fields. We show applications of the generalized spin precession equations using simple examples from atomic, nuclear and condensed matter physics, and compare the various approaches found in the literature. The derivation of the generalized Bloch equations can be considerably simplified using a particular bra–ket notation for irreducible tensors. |
| first_indexed | 2024-03-12T16:48:59Z |
| format | Article |
| id | doaj.art-ccd3a13612ba4c078d87868cc18e424a |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:48:59Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ccd3a13612ba4c078d87868cc18e424a2023-08-08T11:25:52ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116505305010.1088/1367-2630/16/5/053050Generalized spin precession equationsHans-Jürgen Stöckmann0Dirk Dubbers1Fachbereich Physik der Philipps-Universität Marburg , Renthof 5, D-35032 Marburg, GermanyPhysikalisches Institut der Universität Heidelberg , Im Neuenheimer Feld 226, D-69120 Heidelberg, GermanyThe Bloch equations, which describe spin precession and relaxation in external magnetic fields, can be generalized to include the evolution of polarization tensors of various ranks in arbitrary multipole fields. We show applications of the generalized spin precession equations using simple examples from atomic, nuclear and condensed matter physics, and compare the various approaches found in the literature. The derivation of the generalized Bloch equations can be considerably simplified using a particular bra–ket notation for irreducible tensors.https://doi.org/10.1088/1367-2630/16/5/053050Bloch equationsLiouville master equationnuclear magnetic resonancerelaxationspin precession |
| spellingShingle | Hans-Jürgen Stöckmann Dirk Dubbers Generalized spin precession equations New Journal of Physics Bloch equations Liouville master equation nuclear magnetic resonance relaxation spin precession |
| title | Generalized spin precession equations |
| title_full | Generalized spin precession equations |
| title_fullStr | Generalized spin precession equations |
| title_full_unstemmed | Generalized spin precession equations |
| title_short | Generalized spin precession equations |
| title_sort | generalized spin precession equations |
| topic | Bloch equations Liouville master equation nuclear magnetic resonance relaxation spin precession |
| url | https://doi.org/10.1088/1367-2630/16/5/053050 |
| work_keys_str_mv | AT hansjurgenstockmann generalizedspinprecessionequations AT dirkdubbers generalizedspinprecessionequations |