Operator polarization

The quahty of incoming raw sugar is paramount for efficient operation. Polarization is a universal quaUty criterion. Color, ash (inorganic), invert sugar, moisture, dextran content, and grain size are other criteria that may be included in raw sugar purchase contracts. 

THz-RDC Operation (polarization-change with rate-dependence on Intensity)... 

Our consideration of polarization so far has applied to the bare operator forms, corresponding to the normal-ordered polarization matrix and Stokes operators at the source location when r —> 0. In reality, (133) describes the position-dependent operator polarization matrix of the multipole radiation. In addition to the normal-ordered form of the operator polarization matrix (133), one can define the antinormal form ... 

A similar object can be constructed in the case of plane waves of photons. In analogy to (133) and (142), we can construct the quantum counterpart of (123) and corresponding antinormal operator polarization matrix. Then, using the commutation relations (22) and definition (143), we get... 

To illustrate the spatial properties of the polarization of multipole radiation, consider the normal-ordered operator polarization matrix (133) in the case of monochromatic electric-type pure y-pole radiation. Assume that the radiation field is in a single-photon state lm) with given m. Then, the average of (133) takes the form... 

We saw that an appropriate choice of a local reference frame leads to the diagonal representation (148) of the vacuum polarization matrix (142). The use of the unitary transformation (147) allows the operator polarization matrix (142) to be cast into the form... 

Similar representation can be constructed for the magnetic-type operator polarization matrix in (142) as well. 

Due to the form of the operator polarization matrix (142) and corresponding Stokes operators, the polarization, defined to be the spin state of photons [4,27], is not a global property of the quantum multipole radiation. Any atomic transition emits photons with given quantum number m, which yields, in view of (18), (24), and (142), the polarization of all three types depending on the distance from the atom. The structure of (152) and (154) just shows us how the photons with different m contribute into the polarization at an arbitrary point r. Using the operators (154), we can construct, for example, the local bare operator representation of the polarization matrix (142) as follows... 

Advances in rheo-optical FTIR spectroscopy and in the interpretation of the experimental results drived thereof are to be expected in the near future primarily in two aspects. First, the time scale for the acquisition of single-scan spectra with commercial indruments will be further pushed down. This improvement in time resolution automatically requires the replacement of a mechank lly operated polarizer unit by a photodastkally modulated system i .26s-270) more fully exfdoits the scanning speed of sudi an instrument by a much faster change of polarization diiec-... 

Because of the apolar character of dry cleaning solvents cleaning activity also deals with apolar contamination. Oils, fats, grease and other similar substances are dissolved in the dry cleaning operation. Polar contamination, such as, salt, sugar, and most nutrition and body excrements are not dissolved. 

It was observed that when the operating polarity was reversed, that the mass deposition rate of fibre increased significantly. The work that follows investigates what fundamental mechanisms could explain this change in fibre deposition. 

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