Comment on “Effects of (1+2)-dimensional circularly symmetric and static traversable wormhole with cosmic string on oscillator field”

Annals of Physics(2024)

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摘要
We analyze the mathematical results and physical conclusions put forward in a recent paper about “the relativistic quantum dynamics of an oscillator field described by the Klein–Gordon equation in a circularly symmetric and static (1+2)-dimensional traversable wormhole spacetime with cosmic strings”. We show that the existence of allowed oscillator frequencies conjectured by the author is a mere artifact of the truncation of a power series with the purpose of obtaining bound-state solutions in terms of polynomials. Our theoretical analysis suggest that the eigenvalues are continuous, increasing functions of the oscillator frequency, conclusion that is verified by a straightforward numerical calculation.
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关键词
Traversable wormhole spacetime,Conditionally-solvable quantum-mechanical model,Power-series method,Three-term recurrence relation,Particular polynomial solutions
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