Acceleration e space

The definition of q and the displacement R in Fig. 5.4.5 in terms of a position-change experiment performed in 2D space can be carried one step further having identified qv = 9 as the Fourier-conjugate variable of average velocity R/z in (5.4.28), a 

In velocity-change NMR the variables q and q 2 replace the axes ki and kz in Fig. 5.4.5, and ui and V2 replace r and r2 (Fig. 5.4.12). In a coordinate frame rotated by 45° the difference coordinate corresponds to acceleration a and the other to velocity v, so that this exchange experiment can be read as a velocity-acceleration correlation experiment. Following the coordinate transformations (5.4.21) for position-change spectroscopy, the following coordinate transformations apply for velocity-change spectroscopy. 

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