We introduce a new nonsingular scattering integral equation, which is suitable for the investigation of the total (also off-shell) transition matrix in arbitrary dimension n )2. In particular, the low-energy properties are derived and lead, in connection with spin-polarized atomic hydrogen H $, to the low-temperature behavior of two-and three-body surface processes. In addition, for three dimensions the method leads in a natural way to a separable approximation to the T matrix for all energies, with the possibility of formulating a procedure for optimizing this approximation. To show the practicability of the equation we also present numerical results for both n =2 and n = 3.
This paper is concerned with the following questions. Given a square matrix A, when does there exist an invertible lower triangular matrix L such that L-1AL is upper triangular ? And if so, what can be said about the order in which the eigenvalues of A may appear on the diagonal of t-1AL ? The motivation for considering these questions comes from systems theory. In fact they arise in the study of complete factorizations of rational matrix functions. There is also an intimate connection with the problem of complementary triangularization of pairs of matrices discussed in [4].
In October 2020, the European Commission (EC) published a call for contributions on how competition rules could support the Green Deal. With this initiative, the EC followed in the footsteps of several national competition authorities which had already issued guidance on competition policy and sustainability initiatives. The Netherlands Authority for Consumers and Markets (ACM) is, to date, the only authority to publish draft Sustainability Guidelines with progressive, practical guidance. In this paper, we explore the extent to which ACM's Sustainability Guidelines could serve as a source of inspiration for a modern EU approach to sustainability and competition policy. We will conclude that while these Guidelines constitute a clear compromise, ACM has created an intelligent modus operandi to allow for more cooperative sustainability initiatives under the third paragraph of Articles 6 Dutch Competition Act and 101 TFEU without itself having to take decisions about public policy. Sustainability -Green Deal -fair sharepolluter pays -ACM -Netherlands -Article 101 TFEU.
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