Density thermally averaged electron

The structure factor is the Fourier transform of the thermally averaged electron density ... 

X-ray crystallographic experiments measure the intensity of the diffraction peaks resulting from the X-rays scattered by electron clouds, which is related to the thermal average of electron density distributions in the crystal by a Fourier transform ... 

Consequently the thermally averaged second order reduced electronic density matrix eigenvector is... 

It can be seen that the prediction is in satisfactory agreement with experimental observations [27]. The temperature dependence of the density of condensed electrons is shown in Figure 7 which has utilised the thermal average of the density of condensed electrons obtained as described above. 

Geminate recombination is suppressed when the density of excited electron-hole pairs is large. For example, a pair density of 10 cm results in an average separation of the carriers of 50 A. The geminate pairs overlap when this distance is less than the thermalization length, Z.T, and non-geminate recombination between carriers from different pairs occurs. Geminate recombination is therefore most likely at low temperatures and weak excitation intensities and in a-Si H it is only observed under these conditions. 

As is done in the GL-theory for a single even-parity order parameter, we write the free energy density difference between the superconducting state and the norma state as an expansion in even powers of the complex gap function A(k), which is related to the anomalous thermal average of the microscopic theory [28] where c is the electron annihilation operator with wave vector k and spin t. However, for the multiple-order parameter case we must expand A(k) as a linear combination of the angular momentum basis functions Yj(k)),... 

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