Perturbation theory on the non-commutative plane with a singular potential



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Perturbation theory on the non-commutative plane

with a singular potential
Nieto M.1, Pisani P. A. G.2, Falomir H.2
1Departamento de Física- Facultad de Ciencias Exactas- UNLP, La Plata, Argentina; 2IFLP/CONICET-Departamento de Física- Facultad de Ciencias Exactas- UNLP,

La Plata, Argentina
The generalization of Schrödinger operators to the noncommutative plane can be carried out by means of the Bopp shift. Since the noncommutative coordinates are then represented by differential operators, the subsequent generalization of the Schrödinger Hamiltonianchanges drastically its character as a linear operator on the Hilbert space. In particular, positive powers
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