Squared module

The organization of the module is somewhat tricky in order to make use of the nonlinear least squares module M45. Indeed, the module M52 is essentially a server subroutine for the module M45. 

The following program module is a modification of the nonlinear least squares module M45. Because of spline interpolation and differential equation solution involved it is rather lengthy. 

Further, it is convenient to assume that the wave functions Tj and T2 describe not a separate electron pair, but all the superconduction electrons. In this case, T, and T2 should be so normalized that the squared module of the wave function could give the density of superconduction electrons, i.e. T, and VP2 must have the form... 

The channel-resolved photoelectron distribution of the time-dependent wavefunction ip (t) at the end of the external pulses is obtained by taking the square module of the projection of fit) with the scattering functions V e ... 

Note that the exact form of the above ansatz is not critical for obtaining the general behavior of C(t), as described below, the important parameters being the decay time of the modulation correlation function and the mean square modulation depth . The analytical expression for C(t) is now differentiable to second order and exponential decay is followed only at long times t > Tp. Exjjerimental nonjjerfectly Lorentzian Raman line shapes can often be fitted with this equation. 

An alternative to sine-squared modulation of the two-dimensional exchange spectrum to achieve pure-exchange spectra is sine modulation.67 A very similar pulse sequence to that in Fig. 38 is used, as shown in Fig. 40, and the experiment again requires recording spectra for several different t... 

Figure I. (a) Eg values as a function of NC size (Si atom number) for the different bond configurations, (b) Isosurfaces of the square modules of the HOMO and LUMO Kohn-Sham orbitals for the Sii Hjo NC in presence of Si=0 bond (Sii4H d02) or Si-O-Si (Sii4H2o02). O black, H white. Si.

Hence, all probabilities given by the squared modules of the wave function decrease with time as exp[--(F / )r], that is. 

Hie squared module of the transfer function of the carding machine can be found as follows ... 

Neutron diffraction data indicate magnetic modulated structures for the compounds. The magnetic structure of TbCoSn in the temperature range 1.4-5 K is described by the wave vector = (0,5,-j ). With an increase of the temperature, the wave vector changes at f k = 5 K to 2 = (0, 5,0). The R moments of other compounds form a square modulated magnetic structure along the V axis. The wave vector is k = (0,ky,0) with ky = j in DyCoSn, in HoCoSn and in ErCoSn. 

Neutron diffraction measurements performed on TbRu2Ge2 indicate that the magnetic structure of the compound is sine modulated below 32 K (the Neel point). It becomes square modulated at 4.2 K with the terbium magnetic moment amounting to 9.06 /Hg and the propagation vector k = (0.2331, 0, 0). The magnetic moment is directed along the c-axis (Yakinthos 1986, Szytula et al. 1987). 

The holmium ions order antiferromagnetically in the HoRu2Ge2 compound at the Neel temperature T = 20K. This compound exhibits a square modulated structure with a propagation vector k = (0.2216, 0.0111, 0) and a holmium magnetic moment of 6.6 parallel to the c-axis (Yakinthos and Roudaut 1987). 

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