Comment on Kisoglu, H.F. Non-Relativistic Closed-Form Energy Spectrum of a Hyperbolic Molecular Potential Through the Asymptotic Iteration Method. Symmetry 2026, 18, 586
Year: 2026
Type: letter
Abstract: This comment provides a methodological clarification for the solution space of the quantum mechanical system with a hyperbolic potential, which has been previously investigated in our earlier study by using the Asymptotic Iteration Method (AIM). We clarify in this comment that the wavefunction structure (ansatz) and boundary condition used in the original study inherently restrict the solution space to odd-parity states. Therefore, this comment clarifies that the closed-form analytical energy eigenvalues, obtained as the “complete energy spectrum” in the original study, actually represent only the odd-parity states of the system. This structural feature does not affect the accuracy of the results obtained in our study; it mathematically defines the limits of algebraic validity for the reader.
Source: Symmetry
DOI: 10.3390/sym18091462
Author: H. Fatih Kisoglu
Institution: Mersin Üniversitesi
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W7204836747