Hidden supersymmetry in quantum bosonic systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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4 pages; refs and comments added, to appear in Ann. Phys

Scientific paper

10.1016/j.aop.2006.12.002

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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