1994/04/14 by Mikhail S. Plyushchay, Plyushchay, Mikhail S.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #cond-mat #hep-lat #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.hep-th/9404081
10 pages, Latex, DFTUZ/94/05
arxiv created 1994/04/14 · openalex publication_date 1994/04/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The simplest N=2 supersymmetric quantum mechanical system is realized in terms of the bosonic creation and annihilation operators obeying either ordinary or deformed Heisenberg algebra involving Klein operator. The construction comprises both the exact and spontaneously broken supersymmetry cases with the scale of supersymmetry breaking being governed by the deformation parameter. Proceeding from the broken supersymmetry case, we realize the Bose-Fermi transformation and obtain spin-1/2 representation of SU(2) group in terms of one bosonic oscillator. We demonstrate that the constructions can be generalized to the more complicated N=2 supersymmetric systems, in particular, corresponding to the Witten supersymmetric quantum mechanics.