Ambiguities in the Regularization of the Spiked Harmonic Oscillator*

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It has been suggested that the machinery of 𝒫𝒯-symmetric quantum mechanics can be utilized to regularize certain singular potentials. In this contribution I point out that different regularizations lead to different results. In a particular model, that of the spiked harmonic oscillator, I use a symmetry inherent in the model to cast some light on this ambiguity.

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