Hidden supersymmetry in quantum bosonic systems
Francisco Correa, Mikhail S. Plyushchay
TL;DR
This paper reveals hidden supersymmetry in several well-known quantum bosonic systems, including the Aharonov-Bohm, Dirac delta, and Poschl-Teller potentials, uncovering both linear and nonlinear N=2 supersymmetry.
Contribution
It demonstrates the existence of hidden supersymmetry in simple quantum systems without fermionic degrees of freedom, expanding understanding of supersymmetry in quantum mechanics.
Findings
Identification of hidden N=2 supersymmetry in multiple quantum systems
Revelation of both unbroken and broken supersymmetry forms
Extension of supersymmetry concepts to bosonic quantum models
Abstract
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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