These results are somewhat at odds with the classical ideas of Evans however, the quantum field theoretic calculations performed in this section lead to the conclusion that (BM BM ) = 0. This means that this 3-field simply is not a classical effect, and that the classical calculations may be valid only as formalistic tools. If (BM BM ) is demonstrated to exist, then this implies that additional physics is involved that either generalizes the quantum-mechanical results, or new physics that is involved with the quantum-classical transition. [Pg.405]

For an ideal chain (theta solvents), one has < = v = 1/2. Hence, the proximal exponent vanishes, i = 0. This means diat die proximal exponent has no mean-field analog, explaining why it was discovered only within field-theoretical calculations [6, 31]. In the presence of correlations (good solvent conditions) one has

[Pg.128]

In atomic spectroscopy the term values depend primarily on electronic quantum numbers and the process of analysis consists of reducing a number of measurements to a term scheme. The confidence in an analysis increases as the system becomes more overdetermined, and the process becomes more definite as the accuracy of the measurements improves. Other information is also used to facilitate the assignments of the lines, e.g., relative intensities, the observation of certain lines in absorption, the splittings of lines by magnetic fields theoretical calculations of terms and multiplet splittings may sometimes be helpful. [Pg.116]

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