No zero energy states for the supersymmetric x^2y^2 potential
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2001
- DOI:
- 10.48550/arXiv.math-ph/0109032
- arXiv:
- arXiv:math-ph/0109032
- Bibcode:
- 2001math.ph...9032G
- Keywords:
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- Mathematical Physics;
- 81S99
- E-Print:
- 5 pages, 1 figure, LaTeX