By P. W. Anderson
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BROADENING Now we define x—vt/b, k = bwab/v, (61) following Foley; 9 then (60) becomes k (a|P|J) = b2vorbh-L„ eihx f" dx (l+x2)3orl . (60') These integrals can easily be done by contour integration; however, the main features of the two solutions are the same. Both integrals have nearly the same value as at £ = 0 ("fast" collisions or degenerate levels) for a fairly large region of the parameter k (relating speed of collision to frequency) approaching k=l. Then there is quite a rapid falling off until at k = 4 or 5 (60') essentially vanishes.
Symmetry. We do not present this evaluation because the 26 H. A. Stuart, Molekttlstruktur (Verlag J. Springer, Berlin, results, in general, do not have any relation to experi- 1934), Table II. 26 mental results. It is found that the collision broadening J. H. Van Vleck, Phys. Rev. 71, 413 (1947). 20 Theory of Ferroelectric Behavior of Barium Titanate Ceramic Age 57, 29-34 (1951) This is my first review paper — a forerunner of the "soft mode" paper of 1958. Bill Shockley hired me at Bell to work on his ideas on ferroelectricity and I did, but soon became more interested in generalities, feeling that calculations were premature.
G. C. Danielson, unpublished. W. Kaenzig, Phys. Rev. 80, 94 (1950). / 4. Fig. 4: I t as a function of temperature in BaTiC>3. tions add up to zero polarization for the specimen as a whole. Through beautiful theoretical and experimental work3 the domains in ferromagnets have come in quite recent years to be understood and definitely "pinned down" theoretically, as well as made visible experimentally with the powder pattern technique. The opposite order is the rule in ferroelectrics: the domains are easily visible and, in some cases, have been the first observed evidence of ferro-electricity: it has been easier to identify a ferroelectric optically by looking for domains than electrically by finding a hysteresis loop — although the latter, it must be said, is a far surer test, since domain-like twinning is found to be surprisingly common.