To overcome the limitations of the traditional state-averaging approaches in excited state calculations, where one solves and represents all states between the ground state and excited state of interest, we have investigated a number of new excited state algorithms. Building on the work of van der Vorst and Sleijpen [SIAM J. Matrix Anal. Appl. 17, 401 (1996)], we have implemented harmonic David...

Assuming the breaking of gauge symmetries by the Higgs mechanism, we consider the associated bulk gauge boson masses in the Randall-Sundrum background. With the Higgs field confined on the TeV-brane, the W and Z boson masses are naturally an order of magnitude smaller than their Kaluza-Klein excitation masses. The electroweak precision data require the lowest excited state to lie above about 30...

A linear response of a molecule in excited state to an external electric field is discussed in terms of frequency dependent polarizabilities. Results of accurate calculations of polarizabilities of the hydrogen molecule in its b aL: and B lL/ states are presented. The results are compared with other ab initio and model calculations. It is shown that there is no contribution to the polarizabilit...

The Particle Data Group decided to split the η(1440) into two states, called ηL and ηH . The η(1295) and the ηH are supposed to be the radial excitations of the η and η, respectively. The ηL state cannot be accomodated in a quark model; it cannot be a qq̄ state, however, it might be a glueball. In this contribution it is shown that that the η(1295) does not have the properties which must be expe...

We consider the thermodynamical limit of a gl(N) spin chain with arbitrary representation at each site of the chain. We consider excitations (with holes and new strings) above the vacuum and compute their corrections in 1 L to the densities and the energy.