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Comment on “Stark effect in neutral hydrogen by direct integration of the Hamiltonian in parabolic coordinates”
(American Physical Society, 2015-06)
We show that the resonances of the Stark effect in hydrogen reported by Fernández-Menchero and Summers [Phys. Rev. A 88, 022509 (2013)PLRAAN1050-294710.1103/PhysRevA.88.022509] are considerably less accurate than the number ...
Local approximation to the critical parameters of quantum wells
(Elsevier, 2013-07-12)
We calculate the critical parameters for some simple quantum wells by means of the Riccati–Padé method. The original approach converges reasonably well for nonzero angular-momentum quantum number l but rather too slowly ...
Accurate eigenvalues of the Schrödinger equation with the potential V(r)=V0rα
(IOP Publishing, 2019-10)
We calculate accurate eigenvalues of the Schrödinger equation with the potential V(r)=V0rα, α ≥ -1, V 0 α > 0. We resort to the Riccati-Padé method that is based on a rational approximation to the logarithmic derivative ...
Accurate calculation of the eigenvalues of a new simple class of superpotentials in SUSY quantum mechanics
(Versita, 2013-03)
We obtain accurate eigenvalues for two recently derived SUSY partner Hamiltonians. We improve the Rayleigh-Ritz variational method proposed by the authors and show how to apply the Riccati-Padé method to those particular ...
Highly accurate calculation of the resonances in the Stark effect in hydrogen
(Elsevier Science Inc, 2018-01)
We obtained accurate resonances for the Stark effect in hydrogen by means of three independent methods. Two of them are based on complex rotation of the coordinates and diagonalization of the Hamiltonian matrix (CRLM and ...
Comment on "the asymptotic iteration method revisited" [J. Math. Phys. 61, 033501 (2020)]
(American Institute of Physics, 2020-06-16)
In this comment, we show that the eigenvalues of a quartic anharmonic oscillator obtained recently by means of the asymptotic iteration method may not be as accurate as the authors claim them to be.