By John W. Clark, Srinivas Gazula (auth.), S. Fantoni, S. Rosati (eds.)
The XIV overseas Workshop on Condensed subject Theories has been held on the Elba overseas Physics middle (EIPC), Marciana Marina, Isola d'Elba, Italy, from 18-23 June, 1990. The Workshop began in 1977 in Sao Paolo, Brazil, because the 1st Pan American Workshop on Condensed subject Theories, with the aim of bringing jointly scientists from the Western international locations, operating in lots of varied themes of Condensed topic Theories, to facilitate exchanges of principles and applied sciences from diversified parts in addition to collaborations one of the scientists. the subsequent 5 Workshops have been held at Trieste, Italy (1978), in Buenos Aires, Argentina ( 1979), in Caracas, Venezuela (1980), in Mexico urban, Mexico (1981) and in St. Louis, Missouri, U. S. A. (1982). Given the foreign size reached via the Workshop, it used to be made up our minds to increase it into a global Workshop, which used to be held for the 1st time in Altenberg, Germany (1983). the following versions came about in Granada, Spain (1984), San Francisco, California, U. S. A. (1985), Argonne, Illinois, U. S. A. (1986), Oulu, Finland (1987), Taxco, Mexico (1988) and Campos do Jordao, Brasil (1989). Many scientists have contributed to the improvement of many of the variants of the paintings store. even if, a specific point out needs to be made to Profs. Manuel de Llano and Angel Plastino who at the beginning proposed the Workshop and carried it ahead, and to Prof. J . W. Clark, whose efforts were of monstrous aid to its fresh developments.
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After having demonstrated their usefulness for calculations of the ground-state energy in Sec. 3, we turn in Sec. 5 to the much more demanding calculation of the correlation function and the corresponding order parameter which determines the presence or absence of long-range (antiferromagnetic) order. In view of the rather successful outcomes of these calculations, we turn in Sec. 6 to their generalization to the corresponding two-dimensional (2-d) model on a square lattice, for which almost no exact results are known.
Brown and M. edu Introduction The importance of idealized two-level (spin) systems in the study of critical phenomena has long been recognized. Several years ago at the Oulu Workshopl we introduced a new approach to the quantum optics of N two-level atoms interacting with a nearly resonant coherent electromagnetic field. This approach, which has now been carefully derived and discussed 2 , involves solving the microscopic quantum equations of motion exactly, while treating incoherent processes as discrete stochastic unitary transformations on a restricted Hilbert space of this "pseudospin" system.
10. 11. H. Bohr, J. Bohr, S. Brunak, R. M. J. Cotterill, B. Lautrup, L. Neskov, O. H. Olsen, and S. B. Petersen, FEBS Letters 241, 223-228 (1988). L. Holly and M. Karp1us, Proc. Natl Acad. Sci. USA 86, 152-156 (1989). F. Rosenblatt, Psychological Review 65,386-408 (1958). 12. H. D. Block, Rev. Mod. Phys. 34,123-135 (1962). 13. 14. W. S. McCulloch and W. Pitts, Bull. Math. Biophys. 5, 115-137 (1943). M. Minsky and S. Papert, Perceptrons: An Introduction to Computational Geometry (MIT Press, Cambridge, MA, 1969).