Integrable two-channel p_x+ip_y-wave superfluid model

We present a new two-channel integrable model describing a system of spinless fermions interacting through a p-wave Feshbach resonance. Unlike the BCS-BEC crossover of the s-wave case, the p-wave model has a third order quantum phase transition. The critical point coincides with the deconfinement of a single molecule within a BEC of bound dipolar molecules. The exact many-body wavefunction provides a unique perspective of the quantum critical region suggesting that the size of the condensate wavefunction, that diverges logarithmically with the chemical potential, could be used as an experimental indicator of the phase transition.Comment: 4 pages, 4 figure

An Investigation Of The Representation Of Middle School English Language Learners (ells) In Special Education Programs In A Large Urban School District

The disproportionate representation of ethnically and racially diverse students in special education has been an enduring problem in education for the past four decades. However, most of the research on disproportionality has focused on the ethnic/racial variable; the body of research focusing on the linguistic variable is still slim in comparison. As linguistic diversity in the United States continues to rise, teachers will continue to be challenged to meet the needs of the English Language Learners in their classrooms. However, many teachers feel unprepared to deal with this diversity and have difficulty discriminating whether a student’s poor performance is due to linguistic or cognitive factors. Consequently, many English Language Learners are misidentified and misplaced in special education programs. The purpose of this study was to analyze the representation of English Language Learners in special education high incidence disability categories in a large, urban school district in Florida. Cross-tabulations and chi-square statistics were used to analyze the distribution of special education students by ethnicity/race, home language, ESOL status, and English proficiency level; risk ratio and relative risk ratio statistics were used to determine whether the district’s English Language Learners showed under, equal, or over-representation in special education high incidence disability categories. The results indicated that English Language Learners were at the greatest risk for being identified as Specific Learning Disabled when compared to the other learning disability categories, and English Language Learners with intermediate English proficiency levels were at a higher risk for being identified and placed in special education high incidence disability categories when compared to beginning and advanced level English Language Learners

The use of digital microfluidics for a silicon photonic sensors platform

status: publishe

Exact solution of the spin-isospin proton-neutron pairing Hamiltonian

The exact solution of proton-neutron isoscalar-isovector (T=0,1) pairing Hamiltonian with non-degenerate single-particle orbits and equal pairing strengths (g_{T=1}= g_{T=0}) is presented for the first time. The Hamiltonian is a particular case of a family of integrable SO(8) Richardson-Gaudin (RG) models. The exact solution of the T=0,1 pairing Hamiltonian is reduced to a problem of 4 sets of coupled non linear equations that determine the spectral parameters of the complete set of eigenstates. The microscopic structure of individual eigenstates is analyzed in terms of evolution of the spectral parameters in the complex plane for system of A=80 nucleons. The spectroscopic trends of the exact solutions are discussed in terms of generalized rotations in isospace.Comment: 4 pages, 2 figure