Dyson parameter

One distinguishes between three different types depending on space-time symmetry classified by the Dyson parameter (3d = 1,2,4 (Guhr, Muller-Groeling and Weidenmuller, 1998). The Gaussian orthogonal ensemble (GOE, (3d = 1) holds for time-reversal invariance and rotational symmetry of the Hamiltonian... 

Dyson introduces a series of mathematical and physical simplifications and then reaches his important conclusions. These involve the reciprocal relationship of three parameters when these are chosen, the model is completely defined. The parameters are ... 

Dravnieks. A. Comparison of Theories on Relations between Odor Parameters and Other Properties of Odorants, NATO Advanced Study Institute on Odor Theories and Odor Measurements. Robert College. Blebes. Istanbul. Turkey. 1966 Dyson, G.M. Raman Effect and Concept of Odor, Perfume. Essential Oil Record, 28(1937). 

The inclusion of higher order corrections is performed as in the 4p-case. Graphical representations of the real and imaginary parts of the 4 s self-energy and solutions of the Dyson equation are shown in Fig. 27, and the corresponding quasi-particle parameters are given in Table 2. 

The expansion of Gqo(E) into a /-fraction is assured by the dynamical equations of motion, and we wish to obtain the explicit expression of the parameters in terms of moments. We start from the Dyson identity... 

The size of the f a) subspace is quite large for reasonable basis sets. For N electrons and a spin orbital basis of rank K, there are K — N) K — 2)N/2 elements in the orthogonal complement space. The solution of the Dyson-like equation would require the inversion of a matrix of this dimension for every value of the energy parameter. This approximation of the self-energy first introduced by J. Linderberg and Y. Ohrn,, has been discussed by G. D. Purvis III, and Y. Ohrn, and J. Schirmer and L. S. Cederbaum . A simplified version of this approach is the so-called Diagonal 2p-h TDA , which becomes... 

Dyson and Simon [72] used the data of Nielsen et al. to estimate the parameters in the original Temkin-Pyzhev equation,... 

Ferraris and Donati [73] reevaluated the data of Nielsen et al. using both the Temkin equation Eq. (112) modified by Dyson and Simon and Eq. (83) used by Nielsen et al. They used the same thermodynamic data as Dyson and Simon. A non-linear parameter estimation program was used to calculate the constants in the two equations minimizing the sum of squares defined by ... 

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