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Spectral properties of supersymmetric shape invariant potentials

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Abstract

We present the spectral properties of supersymmetric shape invariant potentials (SIPs). Although the folded spectrum is completely random, unfolded spectrum shows that energy levels are highly correlated and absolutely rigid. All the SIPs exhibit harmonic oscillator-type spectral statistics in the unfolded spectrum. We conjecture that this is the reflection of shape invariant symmetry.

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  1. Department of Physics, Lady Braboune College, P1/2 Surawardy Avenue, Kolkata, 700 017, India

    Barnali Chakrabarti

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  1. Barnali Chakrabarti
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Correspondence to Barnali Chakrabarti.

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Chakrabarti, B. Spectral properties of supersymmetric shape invariant potentials. Pramana - J Phys 70, 41–50 (2008). https://doi.org/10.1007/s12043-008-0003-6

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  • DOI: https://doi.org/10.1007/s12043-008-0003-6

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