Some limitations on: Analytic approximate eigenvalues by a new technique. Application to sextic anharmonic potentials, D.D. Almeida and P. Martin, Results. in. Phys. 8, 140–145 (2018)

New technique suggested by Almeida and Martin, can be only used to calculate eigenvalues of single well oscillators. As such the method will fail drastically even to compute eigenvalues of single properly non-linear oscillator of the type H=p2+x2+ x4. Further new technique can hardly ever be used to...

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Bibliographic Details
Published in:Results in physics 2020-12, Vol.19, p.103595, Article 103595
Main Authors: Rath, Biswanath, Mohapatra, Prachiprava
Format: Article
Language:English
Subjects:
Eigenvalues
Sextic oscillator
SUSY operator
Wavefunction mod square
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Summary:New technique suggested by Almeida and Martin, can be only used to calculate eigenvalues of single well oscillators. As such the method will fail drastically even to compute eigenvalues of single properly non-linear oscillator of the type H=p2+x2+ x4. Further new technique can hardly ever be used to calculate eigenvalues of any double-well oscillator. Without the calculation of wave characteristics mod square |Ψ|2 or oblique way by way of expectation value the stated paper loses its intention as widely usual method in eigenvalue relation. •We point out few limitations of analytical approach of Almeida and Martin.•Method cannot be applied to multiple well oscillators and non-linear oscillators.•We plot wave function mod squire and cite the value of 〈p2〉.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2020.103595