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High-order connected moments expansion for the Rabi Hamiltonian
(De Gruyter, 2011-12-03)
We analyze the convergence properties of the connected moments expansion (CMX) for the Rabi Hamiltonian. To this end we calculate the moments and connected moments of the Hamiltonian operator to a sufficiently large order. ...
Prony's method and the connected-moments expansion
(IOP Publishing, 2013-01)
We show that Prony's method provides the full solution to the nonlinear equations of the connected-moments expansion (CMX). Knowledge of all the parameters in the CMX ansatz is useful for the analysis of the convergence ...
Solution to the Equations of the Moment Expansions
(Versita, 2013-01)
We develop a formula for matching a Taylor series about the origin and an asymptotic exponential expansion for large values of the coordinate. We test it on the expansion of the generating functions for the moments and ...
Solution to the equations of the moment expansions
(Springer VerlagVersita, 2013)
Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x 2 y 2
(Versita, 2014-04)
We obtain sufficiently accurate eigenvalues and eigenfunctions for the anharmonic oscillator with potential V(x, y) = x 2 y 2 by means of three different methods. Our results strongly suggest that the spectrum of this ...
Expansion with transpalatal arch or continuous arch mechanics
(Elsevier B.V., 2020-05-01)
Introduction: This study aimed to compare the 3-dimensional force system produced by transpalatal arch (TPA) mechanics with that produced by a continuous arch (CA) on the expansion of maxillary first molars. Methods: A ...