N ov 1 99 9 Justification of the limiting absorption principle in R 2 ∗ †

ar X iv : h ep - p h / 99 11 24 6 v 1 4 N ov 1 99 9 1 Theoretical Summary of the HADRON 99 conference

The Constituent Quark Model has provided a remarkable description of the experimentally observed hadron spectrum but still has no firm theoretical basis. Attempts to provide a QCD justification discussed at Hadron99 include QCD Sum Rules, instantons, relativistic potential models and the lattice. Phenomenological analyses to clarify outstanding problems like the nature of the scalar and pseudos...

2 9 N ov 1 99 6 A Symmetry - Adapted Algebraic Approach to Molecular Spectroscopy

ar X iv : h ep - p h / 99 11 40 8 v 1 19 N ov 1 99 9 Quark Matter 99 Summary : Hadronic Signals

N ov 1 99 9 Exact properties of the chemical potential - density relation at finite temperature in the Hubbard model ∗

We draw some rigorous conclusions about the functional properties of the μ − ρ relation in the Hubbard model based on symmetry considerations and unitary transformations. It is shown that the charge susceptibility reaches its local extreme at half-filling. Exact expressions are obtained in two limiting cases. PACS number(s): 75.10.Lp,71.20.Ad,74.65.+n,74.20.Mn

ar X iv : m at h / 99 11 10 9 v 1 [ m at h . R A ] 1 5 N ov 1 99 9 – 1 – BIRKHOFF ’ S THEOREM FOR PANSTOCHASTIC MATRICES

The panstochastic analogue of Birkhoff's Theorem on doubly-stochastic matrices is proved in the case n = 5. It is shown that this analogue fails when n > 1, n = 5.