We consider an 1-electron model Hamiltonian, whose potential energy corresponds to the Coulomb of infinite wire with charge Z distributed according a Gaussian function. The time independent Schrödinger equation for this Hamiltonian is solved perturbationally in asymptotic limit small amplitude vibration (Gaussian function width close zero). propose use naturally polarized functions so-obtained,...

We present calculations for non-planar double-box with four massless/massive external/internal legs/propagators. The results are expressed for arbitrary exponents of propagators and dimension in terms of Lauricella’s hypergeometric functions of three variables and hypergeometric-like multiple series.

Constraint Programming (CP) and Satis ability Modulo Theories (SMT) both generalize SAT w.r.t. expressiveness and propagation power. CP uses domain propagators based on mathematical structures, whereas SMT uses constraint propagators based on logical theories. In this paper, we incorporate SMT reasoning into CP and illustrate the bene ts of the resulting system for the problem of rule veri cation.

In this work we solve exactly a class of three-body propagators for the most general quadratic interactions in the coordinates, for arbitrary masses and couplings. This is done both for the constant as the time-dependent couplings and masses, by using the Feynman path integral formalism. Finally the energy spectrum and the eigenfunctions are recovered from the propagators. PACS numbers: 03.65Ca...

We present results for the mass spectrum of charm and bottom heavy baryons, using MILC coarse lattice configurations with 2+1 flavors. Clover heavy quark propagators with the Fermilab interpretation and improved staggered light quark propagators are used to construct two point functions with local operators for different flavor and spin states.