Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis; [and] Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice. [Offprints]
1949·[College Park, MD]:
by KAUFMAN, Bruria (1918-2010).
[College Park, MD]:: The Physical Review, 1949., 1949. Offprint. 20 pp. Original turquoise printed wrappers. Very good. [Abstract: "The partition function for a two-dimensional binary lattice is evaluated in terms of the eigenvalues of the 2 n-dimensional matrix V characteristic for the lattice. Use is made of the properties of the 2 n-dimensional" spin"-representation of the group of rotations in 2 n- dimensions. In consequence of these properties, it is shown that the eigenvalues of V are known as soon as one knows the angles of the 2n-dimensional rotation represented by V. Together with the eigenvalues of V, the matrix ? which diagonalizes V is obtained as a spin-representation of a known rotation. The determination of ? is needed for the calculation of the degree of order. The approximation, in which all the eigenvalues of V but the largest are neglected, is discussed, and it is shown that the exact partition function does not differ much from the approximate result." Israeli theoretical physicist who is known for her contributions to Albert Einstein's general theory of relativity, and statistical physics, where she used applied spinor analysis to rederive the results of Lars Onsager on the partition function of the two-dimensional Ising Model, and to the study of the Mossbauer effect, on which she collaborated with John von Neumann and Harry Lipkin. She studied mathematics at the Hebrew University of Jerusalem in 1938 then at Columbia in 1948 for her PhD. (Inventory #: S13287)
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