Supersymmetry in the Half-Oscillator - Revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 5 pages

Scientific paper

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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