Spectral properties of supersymmetric shape invariant potentials

Pramana

Barnali Chakrabarti1¹ 

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

关键词: Supersymmetry;    shape invariant potential;    spectral statistics.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown