Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis

We apply the S-matrix based finite temperature formalism to non-relativistic Bose and Fermi gases in 1+1 and 2+1 dimensions. In the 2+1 dimensional case, the free energy is given in terms of Roger's dilogarithm in a way analagous to the relativistic 1+1 dimensional case. The 1d fermionic case with a quasi-periodic 2-body potential provides a physical framework for understanding the Riemann hypothesis.Comment: version 3: additional appendix explains how the $\nu$ to $1-\nu$ duality of Riemann's $\zeta (\nu)$ follows from a special modular transformation in a massless relativistic theor

Semi-Lorentz invariance, unitarity, and critical exponents of symplectic fermion models

We study a model of N-component complex fermions with a kinetic term that is second order in derivatives. This symplectic fermion model has an Sp(2N) symmetry, which for any N contains an SO(3) subgroup that can be identified with rotational spin of spin-1/2 particles. Since the spin-1/2 representation is not promoted to a representation of the Lorentz group, the model is not fully Lorentz invariant, although it has a relativistic dispersion relation. The hamiltonian is pseudo-hermitian, H^\dagger = C H C, which implies it has a unitary time evolution. Renormalization-group analysis shows the model has a low-energy fixed point that is a fermionic version of the Wilson-Fisher fixed points. The critical exponents are computed to two-loop order. Possible applications to condensed matter physics in 3 space-time dimensions are discussed.Comment: v2: Published version, minor typose correcte

The role of symmetry on interface states in magnetic tunnel junctions

When an electron tunnels from a metal into the barrier in a magnetic tunnel junction it has to cross the interface. Deep in the metal the eigenstates for the electron can be labelled by the point symmetry group of the bulk but around the interface this symmetry is reduced and one has to use linear combinations of the bulk states to form the eigenstates labelled by the irreducible representations of the point symmetry group of the interface. In this way there can be states localized at the interface which control tunneling. The conclusions as to which are the dominant tunneling states are different from that conventionally found.Comment: 14 pages, 5 figures, accepted in PRB, v2: reference 3 complete

Alien Registration- Leclair, Fred M. (Millinocket, Penobscot County)

https://digitalmaine.com/alien_docs/8118/thumbnail.jp

Using academic notebooks to support achievement and promote positive environments in differentiated classrooms

Authors Examine How the Use of Academic Notebooks Impacts Collaborative Learning Experiences of Young Adolescent

The Effects of Workplace Union on the Gender Wage Gap

The Roudy Law in 1983 tried to promote wage equality between men and women by reinforcing union power in this field. A reexamination of CMOSS data from 1992 allows measuring what was its impact after nearly ten years of implementation. The methodology consists in computing how the presence of union representatives at the workplace affects wage gaps between men and women of similar characteristics. Taking into account selection bias and unobserved individual and establishment heterogeneity, our results show a positive impact of unions on wages for both men and women working full time in the industrial sector. This union premium is all the more important as the worker earns a low wage. Nevertheless, we find no significant impact of unions on the unexplained gender wage gap: unions tend to increase both mens and womens wages in similar proportions.trade union, gender wage gap, gender discrimination, linked employer-employee French data

Spin-dependent resonant tunneling in ZnSe/ZnMnSe heterostructures

Using the transfer matrix method and the effective-mass approximation, the effect of resonant states on spin transport is studied in ZnSe/ZnMnSe/ZnSe/ZnMnSe/ZnSe structures under the influence of both electric and magnetic fields. The numerical results show that the ZnMnSe layers, which act as spin filters, polarize the electric currents. Variation of thickness of the central ZnSe layer shifts the resonant levels and exhibits an oscillatory behavior in spin current densities. It is also shown that the spin polarization of the tunneling current in geometrical asymmetry of the heterostructure where two ZnMnSe layers have different Mn concentrations, depends strongly on the thickness and the applied bias.Comment: 13 pages, 6 figure

Competitiveness in the Quarterly Business Survey in Goods-Producing Industries

This working paper aims at assessing the quality and relevance of firms statements about their own « competitiveness » within the French Quarterly Business Survey in goods-producing industries. A higher competitiveness at the individual level is significantly correlated with higher sales, higher production, lower costs of materials and lower labour costs. However this correlation concerns raw values, not values relative to other firms in the sector. This result should warn us against what firms truly mean while stating the way their competitiveness evolves: they might indicate variations of the economic situation or business conditions, rather than a true evolution of their market situation relative to competitors. We sum up firm-level statements about competitiveness into an aggregate competitiveness index. This index seems fairly well correlated with other common « competitiveness » indices, such as aggregate labour productivity, exchange rates or aggregate costs relative to foreign competitors.competitiveness, Business Survey

Elastic electron scattering by laser-excited 138Ba( ... 6s6p 1P1) atoms

The results of a joint experimental and theoretical study concerning elastic electron scattering by laser-excited 138Ba( ... 6s6p 1P1) atoms are described. These studies demonstrate several important aspects of elastic electron collisions with coherently excited atoms, and are the first such studies. From the measurements, collision and coherence parameters, as well as cross sections associated with an atomic ensemble prepared with an arbitrary in-plane laser geometry and linear polarization (with respect to the collision frame), or equivalently with any magnetic sublevel superposition, have been obtained at 20 eV impact energy and at 10°, 15° and 20° scattering angles. The convergent close-coupling (CCC) method was used within the non-relativistic LS-coupling framework to calculate the magnetic sublevel scattering amplitudes. From these amplitudes all the parameters and cross sections at 20 eV impact energy were extracted in the full angular range in 1° steps. The experimental and theoretical results were found to be in good agreement, indicating that the CCC method can be reliably applied to elastic scattering by 138Ba( ... 6s6p 1P1) atoms, and possibly to other heavy elements when spin-orbit coupling effects are negligible. Small but significant asymmetry was observed in the cross sections for scattering to the left and to the right. It was also found that elastic electron scattering by the initially isotropic atomic ensemble resulted in the creation of significant alignment. As a byproduct of the present studies, elastic scattering cross sections for metastable 138Ba atoms were also obtained