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Evolution of Bloch vectors and other quantities obtained from tomographed density matrices

5 EVOLUTION OF BLOCH VECTORS AND OTHER QUANTITIES OBTAINED FROM TOMOGRAPHED DENSITY MATRICES [Pg.168]

To illustrate the Bloch sphere representation of an NMR system, let us consider the density matrix of an ensemble of spins 1/2 nuclei. Because the high temperature deviation density matrix is proportional to 1, the effect of an RF pulse is to induce rotations that transform the initial density matrix into a linear combination of the spin operator components, [Pg.169]

the evolution of such density matrix is contained in the coefficients i(r), which represent the component of the vector I(r) = Notice that [Pg.169]


Evolution of Bloch vectors and other quantities obtained from tomographed density matrices... [Pg.169]




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Bloch

Bloch vector

Density evolution

Density matrix

Density matrix evolution

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Vector quantity

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