Results 1 - 10 of 11067
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[en] Following the analysis of [1,2], we define appropriate hyperradius-distorted free incoming and outgoing waves (HDFW ) that incorporate unphysical long-range effects of the hyperradial-adiabatic (HA ) treatment of the three-body scattering problem.
[en] The generators of set of matrix-factorable representations of general block-tridiagonal and inverse to them matrices both in case of zero main block-angular minors and nonzero ones are obtained
[en] An algorithm for the numerical determination of asymmetric periodic solutions of the planar general three-body problem is described. The elements of the variational matrix which are used in this algorithm are computed by numerical integration of the corresponding variational equations. These elements are also used in the study of the linear isoenergetic stability. A number of asymmetric periodic orbits are presented and their stability parameters are given. (Auth.)
[en] It is proved that for quantum mechanical three-body systems interacting with two-body potentials that decrease according to a certain law at infinity the discrete spectrum is finite, and the point spectrum has no negative accumulation points. (These results had been proved earlier by Sigal and Yafaev respectively, by different methods and with slightly different assumptions)
[fr]On fait la preuve que, en mecanique quantique, pour des systemes a trois corps interagissant avec des potentiels a deux corps qui diminuent suivant une certaine loi a l'infini, le spectre discret est fini et le spectre ponctuel, n'a pas de points d'accumulation negatifs. (Ces resultats ont ete prouves precedemment par Sigal et Yafaev respectivement, par des methodes differentes et avec des hypotheses legerement differentes