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Supersymmetry in the Half-Oscillator - Revisited

2002/06/16 by Asim Gangopadhyaya, Gangopadhyaya, Asim, Jeffry V. Mallow +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #High Energy Physics - Theory (hep-th) #Particle accelerators and beam dynamics #Quantum, superfluid, helium dynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0206133

Latex file, 5 pages

arxiv created 2002/06/16 · openalex publication_date 2002/06/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following a recent study by Das and Pernice [Nucl. Phys. B561, (1999) 357], we have carefully analyzed the half-harmonic oscillator. In contrast to their observations, our analysis reveals that the spectrum does not allow for a zero energy ground state and hence the supersymmetry is broken when the domain is restricted to the positive half of the real axis.

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