Space-time closed manifold

The idea of a closed space-time manifold with an involution has been mooted on the basis of nuclear synthesis (figure 2.6), number theory (figure 2.8), historical argument (4.4), absorber theory (figure 4.8) and chirality (5.9.3). All of these schemes can now be combined into a single construct based on curved Thierrin space-time. 

Judicious distribution of initial conditions on the approximate local maniMd The mesh of initial conditions is chosen so that the trajectories emanating from them are closely and uniformly enough spaced for effective interpolation. This interpolation, performed numerically or even visually in real time graphics provides us with a global approximation of the manifold (see also... 

Chapter 6 deals with the time evolution of radiative decaying states of polyatomic molecules with special emphasis on radiative decay in internal conversion. The decay of a manifold of closely spaced coupled states is handled by the Green s function formalism, where the matrix elements are displayed in an energy representation that involves either the Born-Oppenheimer or the molecular eigenstate basis set. The features of radiationless transitions in large, medium-sized, and small molecules are elucidated, deriving general expressions for the radiative decay times and for the fluorescence quantum yields. 

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