General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments
Abstract A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of all components of the polarization vector at the m...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4845-2 |
| _version_ | 1831842344992768000 |
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| author | Alexander J. Silenko |
| author_facet | Alexander J. Silenko |
| author_sort | Alexander J. Silenko |
| collection | DOAJ |
| description | Abstract A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of all components of the polarization vector at the magnetic resonance are obtained for an arbitrary initial polarization. These formulas are exact on condition that the nonresonance rotating field is neglected. The spin dynamics is also calculated at frequencies far from resonance with allowance for both rotating fields. A general quantum-mechanical analysis of the spin evolution at the magnetic resonance is fulfilled and the full agreement between the classical and quantum-mechanical approaches is shown. Quasimagnetic resonances for particles and nuclei moving in noncontinuous perturbing fields of accelerators and storage rings are considered. Distinguishing features of quasimagnetic resonances in storage ring electric-dipole-moment experiments are investigated in detail. The exact formulas for the effect caused by the electric dipole moment are derived. The difference between the resonance effects conditioned by the rf electric-field flipper and the rf Wien filter is found and is calculated for the first time. The existence of this difference is crucial for the establishment of a consent between analytical derivations and computer simulations and for checking spin tracking programs. The main systematical errors are considered. |
| first_indexed | 2024-12-23T06:47:06Z |
| format | Article |
| id | doaj.art-564df50f6d82485cb6cec6eeba51a271 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-23T06:47:06Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-564df50f6d82485cb6cec6eeba51a2712022-12-21T17:56:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-05-0177511410.1140/epjc/s10052-017-4845-2General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experimentsAlexander J. Silenko0Research Institute for Nuclear Problems, Belarusian State UniversityAbstract A general theoretical description of a magnetic resonance is presented. This description is necessary for a detailed analysis of spin dynamics in electric-dipole-moment experiments in storage rings. General formulas describing a behavior of all components of the polarization vector at the magnetic resonance are obtained for an arbitrary initial polarization. These formulas are exact on condition that the nonresonance rotating field is neglected. The spin dynamics is also calculated at frequencies far from resonance with allowance for both rotating fields. A general quantum-mechanical analysis of the spin evolution at the magnetic resonance is fulfilled and the full agreement between the classical and quantum-mechanical approaches is shown. Quasimagnetic resonances for particles and nuclei moving in noncontinuous perturbing fields of accelerators and storage rings are considered. Distinguishing features of quasimagnetic resonances in storage ring electric-dipole-moment experiments are investigated in detail. The exact formulas for the effect caused by the electric dipole moment are derived. The difference between the resonance effects conditioned by the rf electric-field flipper and the rf Wien filter is found and is calculated for the first time. The existence of this difference is crucial for the establishment of a consent between analytical derivations and computer simulations and for checking spin tracking programs. The main systematical errors are considered.http://link.springer.com/article/10.1140/epjc/s10052-017-4845-2 |
| spellingShingle | Alexander J. Silenko General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments European Physical Journal C: Particles and Fields |
| title | General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments |
| title_full | General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments |
| title_fullStr | General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments |
| title_full_unstemmed | General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments |
| title_short | General classical and quantum-mechanical description of magnetic resonance: an application to electric-dipole-moment experiments |
| title_sort | general classical and quantum mechanical description of magnetic resonance an application to electric dipole moment experiments |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4845-2 |
| work_keys_str_mv | AT alexanderjsilenko generalclassicalandquantummechanicaldescriptionofmagneticresonanceanapplicationtoelectricdipolemomentexperiments |