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Stochastic Processes in Magnetic Resonance
Abstract
This book describes methods for calculating magnetic resonance spectra which are observed in the presence of random processes. The emphasis is on the stochastic Liouville equation (SLE), developed mainly by Kubo and applied to magnetic resonance mostly by J.H. Freed and his co-workers. Following an introduction to the use of density matrices in magnetic resonance, a unified treatment of Bloch-Redfield relaxation theory and chemical exchange theory is presented. The SLE formalism is then developed and compared to the other relaxation theories. Methods for solving the SLE are explained in detail, and its application to a variety of problems in electron paramagnetic resonance (EPR) and nuclear magnetic resonance (NMR) is studied. In addition, experimental aspects relevant to the applications are discussed. Mathematical background material is given in appendices.
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In the symbolic approach, the symbol '⊗' is deprived of its common meaning and operations involving it are assigned customized results that cannot be traced to basic mathematical operations.
“In some expositions (which we may call the 'symbolic approach'), the common operational symbol ' ⊗ ' is deprived of its common meaning and operations involving said symbol are assigned customized results which cannot be traced to any basic mathematical operations.”
From Fundamentals of quantum mechanics in Liouville space (2020) · cites this paper as [15]
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Fundamentals of quantum mechanics in Liouville space
Gyamfi, J. A. (2020) · European Journal of Physics · doi:10.1088/1361-6404/ab9fdd · Cited by 77
Metadata
- Authors
- Gamliel, D., & Levanon, H.
- Affiliations
- Hebrew University of Jerusalem (IL)
- ORCID
- Gamliel, D
- Venue
- WORLD SCIENTIFIC eBooks
- Publisher
- WORLD SCIENTIFIC
- Published
- 1995-07
- DOI
- 10.1142/2717
- OpenAlex
- W636583263
- Cited by
- 42
- References
- 0
- Citations by year
- 2024: 1 · 2023: 1 · 2021: 1 · 2020: 2 · 2019: 1 · 2018: 1 · 2016: 2 · 2015: 1 · 2014: 1 · 2013: 3
- FWCI
- 0.18
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- WORLD SCIENTIFIC eBooks (publishedVersion)
- Topics
- Physical Sciences › Chemistry › Spectroscopy › Advanced NMR Techniques and Applications
- Physical Sciences › Chemistry › Spectroscopy › Electron Spin Resonance Studies
- Physical Sciences › Chemistry › Spectroscopy › NMR spectroscopy and applications
- Keywords
- stochastic Liouville equation, magnetic resonance spectra, density matrix, electron spin resonance, nuclear magnetic resonance, relaxation theory, stochastic processes
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