348 citations
- Pennsylvania State UniversityUS27 papers
- Center for Astrophysics Harvard & SmithsonianUS25 papers
- Lehigh UniversityUS23 papers
- Vanderbilt UniversityUS21 papers
- University of LouisvilleUS19 papers
- California Institute of TechnologyUS18 papers
- Fisk UniversityUS18 papers
- The Ohio State UniversityUS18 papers
- University of Southern QueenslandAU17 papers
- Las Cumbres Observatory Global Telescope NetworkUS15 papers
- Wellesley CollegeUS15 papers
- Goddard Space Flight CenterUS14 papers
77 papers
Quantum States and Spectra of Small Cylindrical and Toroidal Lattices
Caelan Brooks, Kunal K. Das
We examine the spectrum and quantum states of small lattices with cylindrical and toroidal topology subject to a scalar gauge potential that introduces a position dependent phase i…
A further investigation on covering systems with odd moduli
Chris Bispels, Matthew Cohen, Joshua Harrington +4
Erdős first introduced the idea of covering systems in 1950. Since then, much of the work in this area has concentrated on identifying covering systems that meet specific condition…
Bounds on the mosaic number of Legendrian Knots
Margaret Kipe, Samantha Pezzimenti, Leif Schaumann +2
Mosaic tiles were first introduced by Lomonaco and Kauffman in 2008 to describe quantum knots, and have since been studied for their own right. Using a modified set of tiles, front…
Paired -to- disjoint path covers in bipartite transposition-like graphs
Anna Coleman, Gabrielle Fischberg, Charles Gong +2
A paired -to- disjoint path cover of a graph is a collection of pairwise disjoint path subgraphs such that each has prescribed vertices a…
Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
Hongyi Huang, Kunal K. Das
We study the landscape of solutions of the coherent quantum states in a ring shaped lattice potential in the context of ultracold atoms with an effective positive nonlinearity indu…
Arithmetic progressions of integers that are relatively prime to their digital sums
Ryan Blau, Joshua Harrington, Sarah Lohrey +2
For an integer , we call a positive integer -anti-Niven if it is relatively prime to the sum of the digits in its base- representation. In this article, we investiga…