Variational calculation of4He tetramer ground and excited states using a realistic pair potential

Exact Ground States and Excited States of Net Spin Models

We study a set of exactly soluble net spin models. There exist two kinds of ground state, one is a complete dimerized state, and the other one is the ground state of corresponding spin-1 model. For the excitation gap, various phases were discovered and determined. PACS number: 75.10.-b, 75.10.Jm, 75.30.Kz Typeset using REVTEX 1 It is well known that a spin-1/2 antiferromagnetic chain with neare...

Excited states in the large density limit: a variational approach

Excited states of Bose–Einstein condensates are considered in the large density limit of the Gross–Pitaevskii equation with repulsive inter-atomic interactions and a harmonic potential. The relative dynamics of dark solitons (density dips on the localized condensate) with respect to the harmonic potential and to each other is approximated using the averaged Lagrangian method. This permits a com...

Rigidity Results for Variational Infinity Ground States

We prove two rigidity results for a variational infinity ground state u of an open bounded convex domain Ω ⊂ R . They state that u coincides with a multiple of the distance from the boundary of Ω if either |∇u| is constant on ∂Ω, or u is of class C 1,1 outside the high ridge of Ω. Consequently, in both cases Ω can be geometrically characterized as a “stadium-like domain”.

Three-nucleon bound states using realistic potential models

Structure and spectroscopy of ground and excited states of LiYb.

Multireference configuration interaction and coupled cluster calculations have been carried out to determine the potential energy curves for the ground and low-lying excited states of the LiYb molecule. The scalar relativistic effects have been included by means of the Douglas-Kroll Hamiltonian and effective core potential and the spin-orbit couplings have been evaluated by the full microscopic...