The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
- PMID: 37905210
- PMCID: PMC10539727
- DOI: 10.5194/mr-2-689-2021
The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
Abstract
The relationship between the classic magnetic resonance density matrix relaxation theories of Bloch and Hubbard and the modern Lindbladian master equation methods are explored. These classic theories are in full agreement with the latest results obtained by the modern methods. A careful scrutiny shows that this also holds true for Redfield's later treatment, offered in 1965. The early contributions of Bloch and Hubbard to rotating-frame relaxation theory are also highlighted. Taken together, these seminal efforts of Bloch and Hubbard can enjoy a new birth of contemporary relevance in magnetic resonance.
Copyright: © 2021 Thomas M. Barbara.
Conflict of interest statement
The contact author has declared that there are no competing interests.
References
-
- Abergel D, Palmer A. On the use of the stochastic Liouville equation in nuclear magnetic resonance: Application to relaxation in the presence of exchange. Concept Magnetic Res A. 2003;19:134–148.
-
- Abragam A. Principles of Nuclear Magnetism. Oxford University Press; London, UK: 1983.
-
- Alexander S. Exchange of Interacting Nuclear Spins in Nuclear Magnetic Resonance. I. Intramolecular Exchange. J Chem Phys. 1962;37:967–974. a.
-
- Alexander S. Exchange of Interacting Nuclear Spins in Nuclear Magnetic Resonance. II. Chemical Exchange. J Chem Phys. 1962;37:974–980. b.
-
- Bain AD, Anand CK, Nie Z. Exact solution of the CPMG pulse sequence with phase variation down the echo train: Application to measurements. J Magn Reson. 2011;209:183–194. - PubMed
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