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20212023
most citedOn a class of non-Hermitian Hamiltonians with tridiagonal matrix representation

6 citations · 23 across the 22 of their papers we have counts for

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5 papers · 1 filter

physics.chem-ph2021★ 2 cited

On the application of statistical mechanics to diatomic molecules

Francisco M. Fernández

We argue that the results proposed recently for the electronic state of do not exhibit any physical utility because the canonical vibrational…

quant-ph2021★ 1 cited

On the quantum-mechanical singular harmonic oscillator

Francisco M. Fernández

We obtain the eigenvalues and eigenfunctions of the singular harmonic oscillator by means of the simple and straightforward Frobenius (power-series) method. F…

quant-ph2021★ 1 cited

A most misunderstood conditionally-solvable quantum-mechanical model

Francisco M. Fernández

In this paper we show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solv…

quant-ph2021★ 6 cited

On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation

Francisco M. Fernández

We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators. In the class of Hamiltonian o…

physics.chem-ph2021★ 4 cited

Highly accurate potential energy curves for the hydrogen molecule ion

Francisco Marcelo Fernández, Javier Garcia

Potential energy surfaces of the hydrogen molecular ion H in the Born-Oppenheimer approximation are computed by means of the Riccati-Padé method (RPM). The convergence proper…