3,785 research outputs found
Counting Cubic Extensions with given Quadratic Resolvent
Given a number field and a quadratic extension , we give an explicit
asymptotic formula for the number of isomorphism classes of cubic extensions of
whose Galois closure contains as quadratic subextension, ordered by
the norm of their relative discriminant ideal. The main tool is Kummer theory.
We also study in detail the error term of the asymptotics and show that it is
, for an explicit .Comment: 19 page
Resonant persistent currents for ultracold bosons on a lattice ring
We consider a one-dimensional bosonic gas on a ring lattice, in the presence
of a localized barrier, and under the effect of an artificial gauge field. By
means of exact diagonalization we study the persistent currents at varying
interactions and barrier strength, for various values of lattice filling. While
generically the persistent currents are strongly suppressed in the Mott
insulator phase, they show a resonant behaviour when the barrier strength
becomes of the order of the interaction energy. We explain this phenomenon
using an effective single-particle model. We show that this effect is robust at
finite temperature, up the temperature scale where persistent currents vanish.Comment: 8 pages, 7 figures; added refs and Editors' tease
At Rhode Island PBS, RWU Alum, Interns Use Digital Resources to Support Remote Education
When education went remote due to COVID-19, Rhode Island PBS Digital media saw a significant increase in site visits and use. An RWU Elementary Education alum and three Educational Studies interns are working hard to meet this demand
Students Create New Award to Honor Outstanding Faculty Efforts This Fall
Over 150 students nominated 92 professors to receive \u27Hybrid Hero\u27 Awards from the Student Senate Academic Affairs Committee
\u27I Got to Have the College Experience’: Students Reflect on Fall Semester
Students share their thoughts on what being at Roger this fall has meant to them
From Necessity to Invention: Arts and Humanities Expand What’s Possible
RWU professors are finding new opportunities for experiential, student-centered approaches to teaching and learning across the grounds of the Bristol campus
He Made Us Better: RWU Remembers Dean Potter
Beloved by faculty, staff, and students, SECCM Dean Robert \u27Bob\u27 Potter leaves a legacy of excellence and dedication
Construction Management Students Build House in New SECCM Labs Building
Advanced Construction Materials and Methods Lab students are assembling and disassembling a small, to-scale single-family home in the heart of RWU’s Bristol campus for the first time, in the new SECCM Labs building
Experiential Learning During a Pandemic: A Closer Look at 6 Courses
Throughout the fall semester, RWU students and professors found fun and experiential ways to keep learning hands-on, both in-person and at a distance
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