Quantum triplet correlations

To complete this discussion some ideas about the study of triplets within the GFH picture are given here. This study is between the classical and the PI treatments and may help to visualize general quantum triplet correlations (L. M. Sese, unpublished results). For g° (and g°m) classical-like results hold. The same applies to (and g° ) (the use of the extra weak-field approach is needed to derive these results), and the triplet function g° in Eq. (123) is given by the convolution... 

Closely related to the QHS fluid is the QHSY fluid. In this regard, one notes that while QHS state points can be characterized with two parameters, that is, (Ag, pI ), QHSY state points need two additional parameters, which are the de Boer quantumness /C=hl(me(T and the inverse range of the attraction k = kdifferent ranges of conditions within (0.2 < A < 0.6 0.27 pi 0.5). Use of direct correlation functions (BDH) was also made, and its reliability to identify the onset of critical behavior was clearly stated [108]. These QHSY studies covered the following issues mechanical and pair structural properties [108] the asymptotic behavior of the pair radial correlations, with a view to the existence of FW lines [159] and the features of triplet correlations in Fourier space [161]. 

As mentioned in the introductory part of this section, quantum dots exhibit quite complex non-radiative relaxation dynamics. The non-radiative decay is not reproduced by a single exponential function, in contrast to triplet states of fluorescent organic molecules that exhibit monophasic exponential decay. In order to quantitatively analyze fluorescence correlation signals of quantum dots including such complex non-radiative decay, we adopted a fluorescence autocorrelation function including the decay component of a stretched exponential as represented by Eq. (8.11). 

Expressions for the medium modifications of the cluster distribution functions can be derived in a quantum statistical approach to the few-body states, starting from a Hamiltonian describing the nucleon-nucleon interaction by the potential V"(12, l/2/) (1 denoting momentum, spin and isospin). We first discuss the two-particle correlations which have been considered extensively in the literature [5,7], Results for different quantities such as the spectral function, the deuteron binding energy and wave function as well as the two-nucleon scattering phase shifts in the isospin singlet and triplet channel have been evaluated for different temperatures and densities. The composition as well as the phase instability was calculated. 

Latva, M. Takalo, H. Mukkala, V.- . Matachescu, C. Rodrfguez-Ubis, J.-C. Kankare, J. Correlation between the lowest triplet state energy level of the ligand and lanthanide(III) luminescence quantum yield. J. Luminesc. 1997, 75, 149-169. 

The optical and PL spectroscopies have been undertaken to understand the structure-property correlations of this important family of triplet-emitting polymers. The red shift in the absorption features upon coordination of the metal groups is consistent with there being an increase in conjugation length over the molecule through the metal center. The trade-olf relationship between the phosphorescence parameters (such as emission wavelength, quantum yield, rates of radiative and nonradiative decay) and the optical gap will be formulated. For systems with third-row transition metal chromophores in which the ISC efficiency is close to 100%,76-78 the phosphorescence radiative (kr)y, and nonradiative (/cm)p decay rates are related to the measured lifetime of triplet emission (tp) and the phosphorescence quantum yield ([Pg.300]

This behavior matches quite well to the scenario that has recently been developed for 2D spin systems in the proximity to a quantum critical point [16] and is a direct fingerprint of the tendency to form local correlations. It has to be mentioned, however, that the lowest energy excitation still has triplet character. For compounds with closer proximity to quantum criticality, such as the 1/6 depleted triangular lattice (Kagome) [6] and the 1/5 depleted square lattice, also exists a dense singlet spectrum within the singlet triplet gap [17-20], Unfortunately no Raman scattering data for the related compounds are available up to now. 

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