The spin 1/2 Calogero-Gaudin system and its q-deformation are exactly solved: a complete set of commuting observables is diagonalized, and the corresponding eigenvectors and eigenvalues are explicitly calculated. The method of solution is purely algebraic and relies on the co-algebra symmetry of the model. Running T itle: Spin 1/2 CG System and its q−Deformation P.A.C.S.: 03.65 Fd, 02.20 Sv

The exact scattering solutions of the Klein-Gordon equation in cylindrically symmetric field are constructed as eigenfunctions of a complete set of commuting operators. The matrix elements and the corresponding differential scattering cross-section are calculated. Properties of the pair production at various limits are discussed.

INTRODUCTION Active commuting - walking and bicycling for travel to and/or from work or educational addresses - may facilitate daily, routine physical activity. Several studies have investigated the relationship between active commuting and commuting stress; however, there are no studies examining the relationship between solely bicycle commuting and perceived stress, or studies that account fo...

Public transit ridership offers valuable opportunities for modest amounts of daily physical activity (PA). Transit is a more feasible option for most Canadian commuters who live too far from work to walk or cycle, yet public transit usage in midsized Canadian cities has historically remained low due to inefficient transit service. The objectives of this longitudinal study were threefold: to ass...

The aim of the present paper is to obtain some new common fixed point theorems for a pair of Lipschitzian type selfmappings satisfying a minimal commutativity and weaker continuity conditions. In the setting of our results we establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points. Our results generaliz...

Let ∆ be the unit disc of C and let f, g ∈ Hol(∆,∆) be such that f ◦ g = g ◦ f . For A > 1, let FixA(f) := {p ∈ ∂∆ | limr→1 f(rp) = p, limr→1 |f ′(rp)| ≤ A}. We study the behavior of g on FixA(f). In particular, we prove that g(FixA(f)) ⊆ FixA(f). As a consequence, besides conditions for FixA(f)∩FixA(g) 6= ∅, we prove a conjecture of C. Cowen in case f and g are univalent mappings.