Magnetic Resonance
Magnetic Resonance
MR
Articles | Volume 2, issue 1
Articles | Volume 2, issue 1
https://doi.org/10.5194/mr-2-395-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
Special issue:
https://doi.org/10.5194/mr-2-395-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 2, issue 1
Research article
 | 
08 Jun 2021
Research article |  | 08 Jun 2021

Hyperpolarization and the physical boundary of Liouville space

Malcolm H. Levitt and Christian Bengs

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Short summary
Magnetic resonance experiments are described using a mathematical object called the spin density operator. The article explores the regions of an abstract space called Liouville space which may be occupied by the density operator. The study is of particular relevance to hyperpolarized magnetic resonance, which is capable of generating greatly enhanced nuclear magnetic resonance signals which may be used, amongst other things, for imaging of metabolism in the human body.
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