The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
Thomas M. Barbara
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.
https://doi.org/10.5194/mr-2-689-2021
10.5194/mr-2-689-2021
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Magnetic Resonance Chemical Compounds 100%
magnetic resonance Physics & Astronomy 87%
Master Equation Chemical Compounds 67%
Density Matrix Chemical Compounds 65%
Barbara, T. M. (2021). The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation. Magnetic Resonance, 2(2), 689-698. https://doi.org/10.5194/mr-2-689-2021
The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation. / Barbara, Thomas M.
In: Magnetic Resonance, Vol. 2, No. 2, 2021, p. 689-698.
Barbara, TM 2021, 'The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation', Magnetic Resonance, vol. 2, no. 2, pp. 689-698. https://doi.org/10.5194/mr-2-689-2021
Barbara TM. The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation. Magnetic Resonance. 2021;2(2):689-698. doi: 10.5194/mr-2-689-2021
Barbara, Thomas M. / The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation. In: Magnetic Resonance. 2021 ; Vol. 2, No. 2. pp. 689-698.
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title = "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.",
author = "Barbara, {Thomas M.}",
note = "Funding Information: The author thanks Christian Bengs and Malcolm Levitt for friendly correspondence and in particular Christian Bengs for pointing out the work of Chruscinski et al. (2017) on the physics archives and for offering some useful suggestions for improving Sect. 2. Publisher Copyright: {\textcopyright} Author(s) 2021",
doi = "10.5194/mr-2-689-2021",
journal = "Magnetic Resonance",
publisher = "Copernicus Publications",
T1 - The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
AU - Barbara, Thomas M.
N1 - Funding Information: The author thanks Christian Bengs and Malcolm Levitt for friendly correspondence and in particular Christian Bengs for pointing out the work of Chruscinski et al. (2017) on the physics archives and for offering some useful suggestions for improving Sect. 2. Publisher Copyright: © Author(s) 2021
N2 - 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.
AB - 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.
U2 - 10.5194/mr-2-689-2021
DO - 10.5194/mr-2-689-2021
JO - Magnetic Resonance
JF - Magnetic Resonance