The main series of a silver atom with n = 5–70 are investigated. Perturbations of the np2P1/2,3/2 states with n = 10 and 17 caused by interaction with the selfionization 4d5s5p4P1/2,3/2 states are detected. Energies of the selfionization states are determined. 相似文献
We consider particles in d, d2, interacting via attractive pair and repulsive four-body potentials of the Kac type. Perturbing about mean-field theory, valid when the interaction range becomes infinite, we prove rigorously the existence of a liquid–gas phase transition when the interaction range is finite but long compared to the interparticle spacing for a range of temperature. 相似文献
A ``-rule" is a sequence of pairwise disjoint sets , each of cardinality and subsets . A subset (a ``real') follows a rule if for infinitely many , .
Two obvious cardinal invariants arise from this definition: the least number of reals needed to follow all -rules, , and the least number of -rules with no real that follows all of them, .
Call a bounded rule if is a -rule for some . Let be the least cardinality of a set of bounded rules with no real following all rules in the set.
We prove the following: and for all . However, in the Laver model, .
An application of is in Section 3: we show that below one can find proper extensions of dense independent families which preserve a pre-assigned group of automorphisms. The original motivation for discovering rules was an attempt to construct a maximal homogeneous family over . The consistency of such a family is still open.
Several aspects of localized defects in the Frenkel-Kontorova, classicalXY chain and analogous models with a finite range of interactions are discussed from a general point of view. Precise definitions are given for defect phase shifts (charges) and for creation, pinning, and interaction energies. Corresponding definitions are also provided for interfaces (localized regions separating two phases). For the nearest-neighbor Frenkel-Kontorova model, the various defect energies are related to areas enclosed by contours joining heteroclinic points of the area-preserving map generated by the conditions of mechanical equilibrium. 相似文献
The consistent value is an extension of the Shapley value to the class of games with non-transferable utility.? In this paper,
the consistent value will be characterized for market games with a continuum of players of two types. We will show that for
such games the consistent value need not belong to the core, and provide conditions under which there is equivalence between
the two concepts.
Received: October 1998
RID="*"
ID="*" This thesis was completed under the supervision of Professor Sergiu Hart, The Center for Rationality and Interactive
Decision Theory, Department of Mathematics, Department of Economics, The Hebrew University of Jerusalem. I would like to thank
Professor Hart for introducing me to this area of research, for his help and guidance, and, especially, for all his patience.? I
would also like to thank Michael Borns for improving the style, and an anonymous referee for helpful comments. 相似文献