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Infinite square well with a sinusoidal bottom: a candidate for the Klauder phenomenon?

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Abstract

In contrast to a recent observation, we notice that a particle in a box with any cosine bottom does not show up the Klauder phenomenon when the perturbation is gradually reduced to zero. Both perturbative and variational approaches have been pursued. The case of a harmonic oscillator perturbed by a similar potential is additionally studied. No peculiarity is observed anywhere in this case too. Possible reasons behind the phenomenon are sought to rationalize our findings.

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Authors and Affiliations

  1. Department of Chemistry, University of Calcutta, Kolkata, 700 009, India

    Sharmistha Dhatt & Kamal Bhattacharyya

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  1. Sharmistha Dhatt
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  2. Kamal Bhattacharyya
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Correspondence to Kamal Bhattacharyya.

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Dhatt, S., Bhattacharyya, K. Infinite square well with a sinusoidal bottom: a candidate for the Klauder phenomenon?. J Math Chem 50, 9–16 (2012). https://doi.org/10.1007/s10910-011-9913-5

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  • DOI: https://doi.org/10.1007/s10910-011-9913-5

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