No zero energy states for the supersymmetric x^2y^2 potential

Details No zero energy states for the supersymmetric x^2y^2 potential No zero energy states for the supersymmetric x^2y^2 potential

2001-09-28

arxiv.org/abs/math-ph/0109032v1

Physics

Mathematical Physics

5 pages, 1 figure, LaTeX

Scientific paper

We show that the positive supersymmetric matrix-valued differential operator
H={p_x}^2 + {p_y}^2 + x^2y^2 + x\sigma_3 + y\sigma_1 has no zero modes, i.e., H
\psi = 0 implies \psi =0.

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