Comment on "Entanglement of two interacting bosons in a two-dimensional isotropic harmonic trap" [Phys. Lett. A 373 (2009) 3833]
Przemyslaw Koscik

TL;DR
This paper clarifies the proper Schmidt decomposition for the wave functions of two interacting bosons in a 2D harmonic trap, correcting previous formulations.
Contribution
It provides the correct form of the Schmidt decomposition for the stationary wave functions of two interacting particles in a 2D harmonic potential.
Findings
Corrected the Schmidt decomposition for the system
Improved understanding of entanglement structure in 2D traps
Facilitates more accurate quantum state analysis
Abstract
The correct form of the Schmidt decomposition of the stationary wave functions for a system of two interacting particles trapped in a two-dimensional harmonic potential is given
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