Spectral properties of supersymmetric shape invariant potentials

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 u...

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Bibliographic Details
Published in:Pramāṇa 2008, Vol.70 (1), p.41-50
Main Author: Chakrabarti, Barnali
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Energy levels
Harmonic oscillators
Invariants
Observations and Techniques
Physics
Physics and Astronomy
Supersymmetry
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Summary: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.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-008-0003-6