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Density Matrices and Their Time Evolution
Open Systems & Information Dynamics, 2008Already in the case of finite dimensional Hilbert spaces [Formula: see text] the general form of density matrices ρ is not known. The main reason for this lack of knowledge is the nonlinear constraint for these matrices. We propose a representation of density matrices on finite dimensional Hilbert spaces in terms of finitely many independent ...
E. Brüning, F. Petruccione
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Time Evolution of the Probability Density
1992The content of the preceding chapters was essentially devoted to the analysis of the first and second order moments of the state variable u = u(t,x,ω) at fixed values of the time t and space x variables. On the other hand, in the class of problems dealt with in this book, u is a time dependent random field and its behaviour can be properly described by
N. Bellomo, Z. Brzezniak, L. M. de Socio
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Density-Independent Selection and Community Evolution
1994Abstract As originally conceived, organizational ecology explicitly addressed the interpopulation dynamics that account for the evolution of organizational communities (Hannan and Freeman, 1977:942-46). A number of early ecological studies examined community development (Brittain and Freeman, 1980; Freeman and Hannan, 1983; Carroll ...
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Ecology and Evolution of Density-Dependence
2020In nature, ecological communities often consist of many species that are tightly coupled with others in diverse ecological relationships. This ecological complexity has attracted keen attention both in, but different between evolutionary biology and community ecology.
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Electroceramics for High-Energy Density Capacitors: Current Status and Future Perspectives
Chemical Reviews, 2021ge wang, Zhilun Lu, Linhao Li
exaly
Galaxy Evolution in High Density Environments
1989There exists by now almost unequivocal evidence that there has been strong evolution of the population of galaxies in clusters over the relatively short span of the last third of the age of the universe (z ≈ 0.5), and what data there is suggests strongly that even much more marked effects occur between then and z = 1.
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Clinical and epidemiological issues in mammographic density
Nature Reviews Clinical Oncology, 2011Valentina Assi +2 more
exaly