Uhlenbeck G E and Ford G W 1963 Lectures in Statistical Mechanics (Providence, Rl American Mathematicai Society) [Pg.691]

G. E. Uhlenbeck and S. Goudsmit (1925) explained the splitting of atomic spectral lines by postulating that the electron possesses an intrinsic angular momentum, which is called spin. The component of the spin angular momen- [Pg.194]

Kao M, Uhlenbeck G E and Hemmer P 1963 Gn van der Waals theory of vapor-liquid equilibrium. I. Discussion of a one-dimensional model J. Math. Phys. 4 216 [Pg.551]

Blount KF, Uhlenbeck OC (2005) Annu Rev Biophys Biomol Struct 34 415. [Pg.407]

Fox R F and Uhlenbeck G E 1970 Contributions to non-equilibrium thermodynamics. II. Fluctuation theory for the Boltzmann equation Rhys. Fluids 13 2881 [Pg.714]

Hertel KJ, Peracchi A, Uhlenbeck OC, Herschlag D (1997) Proc Natl Acad Sci USA 94 8497. [Pg.407]

Ernst M FI 1998 Bogoliubov-Choh-Uhlenbeck theory cradle of modern kinetic theory Progress in Statistical Physics ed W Sung et al (Singapore World Scientific) [Pg.691]

Finally, in Section V, we compare the results of Bogolubov,3 Choh and Uhlenbeck, and Cohen8 with the generalized Boltzmann equation in Prigogine s formalism. The equivalence of the two methods is well known for the two-body and Cohen s three-body results 23 the demonstration of the same indentity is extended to the three-body results of Choh and Uhlenbeck and to Cohen s four-body expression. We also present the principles of the extension of this comparison for arbitrary concentration. [Pg.320]

In Section II, we summarize the ideas and the results of Bogolubov,3 Choh and Uhlenbeck,6 and Cohen.8 Bogolubov and Choh and Uhlenbeck solved the hierarchy equations and derived two- and three-body generalized Boltzmann operators Cohen used a cluster expansion method and obtained two-, three-, and four-body explicit results which he was able to extend to arbitrary concentrations. [Pg.319]

It was therefore useful and interesting to compare explicitly the derivations of Bogolubov, Choh-Uhlenbeck, and Cohen (which we shall call the streaming operators method) and the results of Prigogine s theory. Part of this comparison has been made previously. [Pg.318]

The postulates of quantum mechanics discussed in Section 3.7 are incomplete. In order to explain certain experimental observations, Uhlenbeck and Goudsmit introduced the concept of spin angular momentum for the electron. This concept is not contained in our previous set of postulates an additional postulate is needed. Further, there is no reason why the property of spin should be confined to the electron. As it turns out, other particles possess an intrinsic angular momentum as well. Accordingly, we now add a sixth postulate to the previous list of quantum principles. [Pg.196]

RidR51 Riddell, R. J. Contributions to the theory of condensation. Ph.D. Dissertation. University of Michigan, 1951. RidR53 Riddell, R. J., Uhlenbeck, G. E. On the theory of the virial development of the equation of state of mono-atomic gases. J. Chem. Phys. 21 (1953) 2056. [Pg.146]

For more complicated geometries, the computations become more and more involved as it is the case for the ordinary electromagnetic Casimir effect. However, Casimir calculations of a finite number of immersed nonoverlapping spherical voids or rods, i.e. spheres and cylinders in 3 dimensions or disks in 2 dimensions, are still doable. In fact, these calculations simplify because of Krein s trace formula (Krein, 2004 Beth and Uhlenbeck, 1937) [Pg.236]

This simplified treatment does not account for the fine-structure of the hydrogen spectrum. It has been shown by Dirac (22) that the assumption that the system conform to the principles of the quantum mechanics and of the theory of relativity leads to results which are to a first approximation equivalent to attributing to each electron a spin that is, a mechanical moment and a magnetic moment, and to assuming that the spin vector can take either one of two possible orientations in space. The existence of this spin of the electron had been previously deduced by Uhlenbeck and Goudsmit (23) from the empirical study of line spectra. This result is of particular importance for the problems of chemistry. [Pg.32]

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