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Classical trajectories and quantum supersymmetry

2006/10/31 by Piotr Korcyl · 13 citations
Engineering · Physics and Astronomy · #Engineering #Nonlinear Waves and Solitons #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Range (aeronautics) #Spectrum (functional analysis) #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.74.115012

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 74(11) (American Physical Society) · 16 pages, 12 figures, 5 tables, some misspellings corrected

arxiv created 2006/11/03 · openalex publication_date 2006/12/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze a supersymmetric system with four flat directions. We observe several interesting properties, such as the coexistence of the discrete and continuous spectrum in the same range of energies. We also solve numerically the classical counterpart of this system. A similar analysis is then done for an alike, but nonsupersymmetric, system. The comparison of these classical and quantum results may serve as a suggestion about classical manifestations of supersymmetry.

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