Comment on: ‘A doubly anharmonic oscillator in an induced electric dipole system’

Author:

Fernández Francisco M.1ORCID

Affiliation:

1. INIFTA, DQT, Sucursal, 4, C.C 16, 1900 La Plata, Argentina

Abstract

We argue that recent conclusions about a doubly anharmonic oscillator appear to be wrong. The radial eigenvalue equation is conditionally solvable and the authors derived some analytical eigenvalues for states with polynomial solutions. The allowed discrete values of the cyclotron frequency or intensity of the uniform magnetic field are an artefact of the approach used to obtain such particular solutions. There are bound states when the angular velocity of the rotating reference frame is null, contrary to what the authors claimed.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference14 articles.

1. A doubly anharmonic oscillator in an induced electric dipole system

2. Fernández FM, Castro EA. 1996 Algebraic methods in quantum chemistry and physics. Boca Raton, New York, London, Tokyo: CRC.

3. Bender CM, Orszag SA. 1978 Advanced mathematical methods for scientists and engineers. New York, NY: McGraw-Hill.

4. Fernández FM. 2020 Dimensionless equations in non-relativistic quantum mechanics . (http://arxiv.org/abs/2005.05377 [quant-ph]).

5. One-dimensional quasi-exactly solvable Schrödinger equations

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