Comment on ‘Solving a singular integral equation for the one-dimensional Coulomb problem’ (2023 Physica Scripta 98 085219)

Abstract It is shown by Olendski that the derivation of the momentum waveform of the quasi-one-dimensional hydrogen atom recently performed by Shutovskyi et al (2023 Phys. Scr. 98 085 219) contains the same error as in the previous effort by Saha et al (2017 Eur. J. Phys. 38 025 103). The error was also identified by Olendski (2017 Eur. J. Phys. 38 038 001; 2019 Eur. J. Phys. 40 025 402). To exemplify the faulty nature of Shutovski et al formula, the standard deviations of position and momentum that enter the Heisenberg uncertainty relation were calculated. It produced different results in the position and wave vector spaces, whereas the use of the correct expression yields the same value by either method.