39 citations · 69 across the 6 of their papers we have counts for
8 papers
Stability of bound states for regularized nonlinear Schrödinger equations
John Albert, Jack Arbunich
We consider the stability of bound-state solutions of a family of regularized nonlinear Schrödinger equations which were introduced by Dumas, Lannes and Szeftel as models for the p…
Maximal Speed of Quantum Propagation
Jack Arbunich, Fabio Pusateri, Israel Michael Sigal +1
For Schroedinger equations with both time-independent and time-dependent Kato potentials, we give a simple proof of the maximal speed bound. The latter states that the probability…
Stability and instability properties of rotating Bose-Einstein condensates
Jack Arbunich, Irina Nenciu, Christof Sparber
We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solutio…
On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions
J. Arbunich, C. Klein, C. Sparber
We present analytical results and numerical simulations for a class of nonlinear dispersive equations in two spatial dimensions. These equations are of (derivative) nonlinear Schrö…
Regularizing nonlinear Schroedinger equations through partial off-axis variations
Paolo Antonelli, Jack Arbunich, Christof Sparber
We study a class of focusing nonlinear Schroedinger-type equations derived recently by Dumas, Lannes and Szeftel within the mathematical description of high intensity laser beams […
Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures
Jack Arbunich, Christof Sparber
We consider a nonlinear Schroedinger equation in two spatial dimensions subject to a periodic honeycomb lattice potential. Using a multi-scale expansion together with rigorous erro…
The Application of Autocorrelation SETI Search Techniques in an ATA Survey
G. R. Harp, R. F. Ackermann, Alfredo Astorga +9
We report a novel radio autocorrelation (AC) search for extraterrestrial intelligence (SETI). For selected frequencies across the terrestrial microwave window (1-10 GHz) observatio…
A new class of SETI beacons that contain information (22-aug-2010)
G. R. Harp, R. F. Ackermann, Samantha K. Blair +4
In the cm-wavelength range, an extraterrestrial electromagnetic narrow band (sine wave) beacon is an excellent choice to get alien attention across interstellar distances because 1…