MULTIPLE PERIODIC SOLUTIONS OF ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS VIA CONLEY INDEX THEORY

In this paper we study the existence of periodic solutions of asymptotically linear Hamiltonian systems which may not satisfy the Palais-Smale condition. By using the Conley index theory and the Galerkin approximation methods, we establish the existence of at least two nontrivial periodic solutions for the corresponding systems.

Shell-model Hamiltonian from self-consistent mean-field model: N = Z nuclei

We propose a procedure to determine the effective nuclear shell-model Hamiltonian in a truncated space from a self-consistent mean-field model, e.g., the Skyrme model. The parameters of pairing plus quadrupole-quadrupole interaction with monopole force are obtained so that the potential energy surface of the Skyrme Hartree-Fock + BCS calculation is reproduced. We test our method for N = Z nuclei in the fpg- and sd-shell regions. It is shown that the calculated energy spectra with these parameters are in a good agreement with experimental data, in which the importance of the monopole interaction is discussed. This method may represent a practical way of defining the Hamiltonian for general shell-model calculations. (C) 2009 Elsevier B.V. All rights reserved.

Anderson-Grneisen参数、热膨胀系数与压强的普遍关系

本文首先从理论上导出A derson-Gruneisen参数与体积弹性模量对压强的一阶导数之间及体积弹性模量与压强之间的普遍关系。然后在此基础上进一步导出Anderson-Gruneisen参数、热膨胀系数与压强之间的普遍关系。

The Hawaiian Islands : their progress and condition under missionary labors / by Rufus Anderson.

http://moa.umdl.umich.edu/cgi/sgml/moa-idx?notisid=ALQ8090