27 citations · 66 across the 6 of their papers we have counts for
6 papers
Quantum control theory for coupled 2-electron dynamics in quantum dots
R. Nepstad, L. Sælen, I. Degani +1
We investigate optimal control strategies for state to state transitions in a model of a quantum dot molecule containing two active strongly interacting electrons. The Schrodinger…
Observations on Gaussian bases for Schrodinger's equation
Ilan Degani
One of the few methods for generating efficient function spaces for multi-D Schrodinger eigenproblems is given by Garashchuk and Light in J.Chem.Phys. 114 (2001) 3929. Their Gaussi…
Semiclassical approximation with zero velocity trajectories
Yair Goldfarb, Ilan Degani, David +1
We present a new semiclassical method that yields an approximation to the quantum mechanical wavefunction at a fixed, predetermined position. In the approach, a hierarchy of ODEs a…
Bohmian Mechanics with Complex Action: A New Trajectory-Based Formulation of Quantum Mechanics
Yair Goldfarb, Ilan Degani, David J. Tannor
In recent years there has been a resurgence of interest in Bohmian mechanics as a numerical tool because of its local dynamics, which suggest the possibility of significant computa…
Gaussian Quadrature without Orthogonal Polynomials
Ilan Degani, Jeremy Schiff
A novel development is given of the theory of Gaussian quadrature, not relying on the theory of orthogonal polynomials. A method is given for computing the nodes and weights that i…
Commuting Extensions and Cubature Formulae
Ilan Degani, Jeremy Schiff, David Tannor
Based on a novel point of view on 1-dimensional Gaussian quadrature, we present a new approach to the computation of d-dimensional cubature formulae. It is well known that the node…