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Why does the transverse magnetization in Fourier Transform NMR consist of Ix+iIy (I^x+iI^y)?

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Manpreet Singh

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manpreet Best Answer 3 years ago

More specifically, the expressiof="https://forum.tuteehub.com/tag/n">n for the f="https://forum.tuteehub.com/tag/average">average expectatiof="https://forum.tuteehub.com/tag/n">n f="https://forum.tuteehub.com/tag/value">value of the traf="https://forum.tuteehub.com/tag/n">nsverse magf="https://forum.tuteehub.com/tag/n">netizatiof="https://forum.tuteehub.com/tag/n">n has the followif="https://forum.tuteehub.com/tag/n">ng f="https://forum.tuteehub.com/tag/form">form:

M + (t) = N γ ℏ Tr (σ^(t) F^+)

with $\hat{σ} (t)$ the density matrix. ${\hat{F}}^{+}$ is defined as:

F^+ = \sum k = 1 K I^+ k = \sum k = 1 K (f="https:// f orum.tuteehub.com/tag/n">n id="MathJax-Spa f ="https:// f orum.tuteehub.com/tag/n">n-126" class="mi" style="margi f ="https:// f orum.tuteehub.com/tag/n">n: 0px; paddi f ="https:// f orum.tuteehub.com/tag/n">ng: 0px; border: 0px; f o f ="https:// f orum.tuteehub.com/tag/n">nt-style: i f ="https:// f orum.tuteehub.com/tag/n">nherit; f o f ="https:// f orum.tuteehub.com/tag/n">nt-varia f ="https:// f orum.tuteehub.com/tag/n">nt: i f ="https:// f orum.tuteehub.com/tag/n">nherit; f o f ="https:// f orum.tuteehub.com/tag/n">nt-weight: i f ="https:// f orum.tuteehub.com/tag/n">nherit; f o f ="https:// f orum.tuteehub.com/tag/n">nt-stretch: i f ="https:// f orum.tuteehub.com/tag/n">nherit; li f ="https:// f orum.tuteehub.com/tag/n">ne-height: f ="https:// f orum.tuteehub.com/tag/n">normal; f o f ="https:// f orum.tuteehub.com/tag/n">nt- f amily: MathJax_Math-italic; f o f ="https:// f orum.tuteehub.com/tag/n">nt-size: 16.65px; vertical-alig f ="https:// f orum.tuteehub.com/tag/n">n: 0px; box-sizi f ="https:// f orum.tuteehub.com/tag/n">ng: co f ="https:// f orum.tuteehub.com/tag/n">nte f ="https:// f orum.tuteehub.com/tag/n">nt-b

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Why does the transverse magnetization in Fourier Transform NMR consist of Ix+iIy (I^x+iI^y)?

Manpreet Singh

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manpreet Best Answer 3 years ago

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