We derive the spectrum and thermodynamics of the 1D supersymmetric t-J model with long range hopping and spin exchange using a set of maximal spin eigenstates. This spectrum confirms the recent conjecture that the asymptotic Bethe-ansatz spectrum is exact. By empirically determining the spinon degeneracies of each state, we are able to explicitly construct the free energy.

The one-dimensional problem of N particles with contact interaction in the presence of a tunable transmitting and reflecting impurity is investigated along the lines of the coordinate Bethe ansatz. As a result, the system is shown to be exactly solvable by determining the eigenfunctions and the energy spectrum. The latter is given by the solutions of the Bethe ansatz equations which we establis...

A theoretical model of a single molecule coupled to many vibronic modes is presented. At low energies, transport is dominated by electron-vibron processes where transfer of an electron through the dot is accompanied by the excitation or emission of quanta (vibrons). Because the frequency of the nth mode is taken as an nth multiple of the frequency of the fundamental mode, several energetically ...

We discuss in a systematic way the extraction of neutrino masses, mixing angles and leptonic CP violation at neutrino factories. Compared to previous studies we put a special emphasis on improved statistical methods and on the multidimensional nature of the combined fits of the νe → νμ, ν̄e → ν̄μ appearance and νμ → νμ, ν̄μ → ν̄μ disappearance channels. Uncertainties of all involved parameters and ...

In this work, we compare the two approximations of a pathconnected space X, by the Ganea spaces Gn(X) and by the realizations ‖Λ•X‖n of the truncated simplicial resolutions emerging from the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps ‖Λ•X‖n−1 → Gn(X) → ‖Λ•X‖n over X, up to homotopy. In the case n = 2, we prove the existence of a map G2(X) → ‖Λ•X‖1 over X (up ...

We determine, in two independent ways, the number of BPS quantum states arising from supergravity degrees of freedom in a system with fixed total D4D0 charge. First, we count states generated by quantizing the spacetime degrees of freedom of “entropyless” multicentered solutions consisting of D0-branes bound to a D6D6 pair. Second, we determine the number of free supergravity excitations of the...

We analyze the impact of wiresizing on the performance of Elmore-based routing constructions. Whereas previous wiresizing schemes are static (i.e., they wiresize an existing topology), we introduce a new dynamic wiresizing technique, which uses wire-sizing considerations to drive the routing construction itself. Simulations show that dynamic wiresiz-ing aaords superior performance over static w...

An introduction to some recently developed methods for the analysis of systems of singularly perturbed ordinary differential equations is given in the context of a specific problem describing glycolytic oscillations. In suitably scaled variables the governing equations are a planar system of ordinary differential equations depending singularly on two small parameters ε and δ. In [20] it was arg...

We argue that fermion-boson mapping techniques represent a natural tool for studying manybody supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the SU(2) type of pairing we investigate two kinds of supersymmetry connecting excitations in the systems with even and odd particle numbers: dynamical supersymm...

We investigated the ability of the stellar models Starburst99 and MappingsIII to model starburst galaxies using infrared diagnostics and Spitzer data. The infrared diagnostics were useful for distinguishing between starforming galaxies and AGN. The theoretical starburst models indicate that the infrared emission-line ratios are largely degenerate and are extremely sensitive to the age of the st...