output
19992026
most citedFormation of a Nematic Fluid at High Fields in Sr3Ru2O7

436 citations

Showing 2011Show all

8 papers · 1 filter

quant-ph2011

Particle correlation from uncorrelated non Born-Oppenheimer SCF wavefunctions

Paolo Amore, Francisco M. Fernández

We analyse a nonadiabatic self-consistent field method by means of an exactly-solvable model. The method is based on nuclear and electronic orbitals that are functions of the carte…

quant-ph2011

Prony's method and the connected-moments expansion

Francisco M. Fernández

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 us…

quant-ph2011

Wronskian method and the Schrödinger eigenvalue march

Francisco M. Fernández

We compare the Wronskian method (WM) and the Schrödinger eigenvalue march or canonical function method (SEM--CFM) for the calculation of the energies and eigenfunctions of the Schr…

quant-ph2011★ 1 cited

Solution to the Equations of the Moment Expansions

Paolo Amore, Francisco M. Fernández

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 ge…

quant-ph2011★ 4 cited

Resonances for symmetric two-barrier potentials

Francisco M. Fernández

We describe a method for the accurate calculation of bound-state and resonance energies for one-dimensional potentials. We calculate the shape resonances for symmetric two-barrier…

quant-ph2011★ 1 cited

Comment on: "Non-relativistic treatment of diatomic molecules interacting with generalized Kratzer potential in hyperspherical coordinates"

Francisco M. Fernández

We argue that the textbook method for solving eigenvalue equations is simpler, more elegant and efficient than the Asymptotic Iteration Method (AIM) applied in J. Phys. A {\bf 44}…

math-ph2011★ 4 cited

On the variational homotopy perturbation method for nonlinear oscillators

Francisco M. Fernández

In this paper we discuss a recent application of a variational homotopy perturbation method to rather simple nonlinear oscillators . We show that the main equations are inconsisten…

quant-ph2011★ 16 cited

Wronskian method for bound states

Francisco M. Fernández

We propose a simple and straightforward method based on Wronskians for the calculation of bound--state energies and wavefunctions of one--dimensional quantum--mechanical problems.…