By Sergei Vladimirovich Tyablikov (auth.)
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19) f 'P;(x) A, (x I X') 'PI' (x') dx dx'. A2(/1' 121 I;. I;) = = f 'P;,(X I )'P;,(x2)A2 (x J. X2Ix;. 20) (x;)dxJ '" dx;. We shall now employ standard formulas to transform the coordinate representation of the operators ell I and ell 2 into the second quantization representation. We shall now consider some operator ell (for example, d 1 0r ell 2 ) in the coordinate representation. By definition, the application of the operator ell (x,x') to some function l/J (x) yields a new function l/J '(x), where f ell (x.
A sharp increase in the absorption is observed at the alternating field frequencies close to the free precession frequency or the resonance frequency. The resultant effect is the appearance, in the magnetization vector, of a component 15M, which is proportional to the alternating field amplitude: oM (t) = Xh (t). 11) Such a dependence is observed only in weak fields. In strong fields, 6 M depends nonlinearly on h. The quantity X is a tensor and is known as the complex magnetic susceptibility tensor.
W2 - ••• ) = O. w0 = ,jJ(JotJ> . tJ> (&\ - cJJ(Jo) C1 = ($ - 98 u) g> (I - tJ» C = o. This gives the following equation: t (ct ,C 2 ) is used to denote the scalar product of the functions C1 , C2 , where (c;. C 2) = f c; tinuous arguments, and (x) c2 (x) dx (C~. C2) = if these functions have con~ n c; (n) c2 (n). if the functions have discrete arguments. The functions C 1 and C2 are orthogonal if their product is equal to zero. 44 [CH. II SPIN HAMILTONIANS -etfl'$8ICI -eV/'$82CI - ... = o. 8) We shall subtract Eq.