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Hidden supersymmetry in quantum bosonic systems

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arxiv hep-th/0605104 v2 pith:OU3DE5ZS submitted 2006-05-10 hep-th math-phmath.MPnlin.SInucl-thquant-ph

Francisco Correa , Mikhail S. Plyushchay This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.SInucl-thquant-ph
keywords supersymmetryhiddenquantumsystemsaharonov-bohmbosonicboundbroken
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that some simple well studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the bound state Aharonov-Bohm, the Dirac delta and the Poschl-Teller potential problems, in which the unbroken and broken N=2 supersymmetry of linear and nonlinear (polynomial) forms is revealed.

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    hep-th 2026-02 accept novelty 7.0 of 10

    DS II breather profiles become the potentials and mass terms of planar Dirac Hamiltonians with omnidirectional perfect transmission, yielding a three-parameter SKT family with embedded bound states.

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