21 citations
5 papers
Real solutions to systems of polynomial equations in Macaulay2
Jordy Lopez Garcia, Kelly Maluccio, Frank Sottile +1
The Macaulay2 package RealRoots provides symbolic methods to study real solutions to systems of polynomial equations. It updates and expands an earlier package developed by Grayson…
Weakly linked embeddings of pairs of complete graphs in
James Di, Erica Flapan, Spencer Johnson +2
Let and be disjoint embeddings of complete graphs and in such that some cycle in links a cycle in with non-zero linking number. We say th…
Proving the existence of bound states for attractive potentials in 1-d and 2-d without calculus
J. Alexander Jacoby, Maurice Curran, David R. Wolf +1
Schroedinger developed an operator method for solving quantum mechanics. While this technique is overshadowed by his more familiar differential equation approach, it has found wide…
Hamiltonian Dynamics of Spatially-Homogeneous Vlasov-Einstein Systems
Takahide Okabe, P. J. Morrison, J. E. Friedrichsen +1
We introduce a new matter action principle, with a wide range of applicability, for the Vlasov equation in terms of a conjugate pair of functions. Here we apply this action princip…
Coulomb Field Scattering in Born-Infeld Electrodynamics
Daniel Tennant
In the context of Born-Infeld electrodynamics, the electromagnetic fields interact with each other via their non-linear couplings. A calculation will be performed where an incoming…