Page History

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Rewrite the hamiltonian of the dipolar interaction in polar coordinate. Expand the operator to increasing-lowering basis

Solid Echo

• Write out the Solid Echo sequence.
• Show that if add the 3rd spin there will be no refocusing

JB Echo

• Write out the JB echo sequence.
• Show that the magnitude of the dipolar hamiltonian at the end is 1/2 of the magnitization
• Show that if use arbitrary pulse instead of pi/4 pulse, it will give a dipolar state, but not maximum

Lee-Goldberg

Get the hamiltonian of the system by doing averaging transformation

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Dyson time velocity operation

Wiki MarkupShow that exp(-i(A+B))t \ != exp(-iAt)exp(-iBt) unless \ [A,B\]=0.
It is equal to exp(-iAt)T exp(-i integrate\[B'(t)\]dt) ; B'=exp(iAt)B exp(-iAt), T is Dyson time velocity operator.

WAHUHA Sequence

• Show that H~(1) = 0 => if symmetric sequence H~(odd) = 0
• Show that H~(0)finite pulse != 0, but equal to w1/wD

MREV-8

Show that H~D(0)finite pulse width = 0

BR24, C24

• Show that anti-cyclic H~D(0) = 0
• Show that this is a dipolar decouple pi pulse