The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation

<p>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 scr...

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Main Author: T. M. Barbara
Format: Article
Language:English
Published: Copernicus Publications 2021-08-01
Series:Magnetic Resonance
Online Access:https://mr.copernicus.org/articles/2/689/2021/mr-2-689-2021.pdf
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spelling doaj-af864a09d4b24dc1af9480e565b267692021-08-26T11:55:10ZengCopernicus PublicationsMagnetic Resonance2699-00162021-08-01268969810.5194/mr-2-689-2021The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxationT. M. Barbara<p>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.</p>https://mr.copernicus.org/articles/2/689/2021/mr-2-689-2021.pdf
collection DOAJ
language English
format Article
sources DOAJ
author T. M. Barbara
spellingShingle T. M. Barbara
The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
Magnetic Resonance
author_facet T. M. Barbara
author_sort T. M. Barbara
title The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
title_short The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
title_full The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
title_fullStr The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
title_full_unstemmed The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation
title_sort lindbladian form and the reincarnation of felix bloch's generalized theory of relaxation
publisher Copernicus Publications
series Magnetic Resonance
issn 2699-0016
publishDate 2021-08-01
description <p>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.</p>
url https://mr.copernicus.org/articles/2/689/2021/mr-2-689-2021.pdf
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