Abstract
A model of a quantum mechanical system related to the three-body problem is studied. The model is defined in terms of a symmetric pseudodifferential operator (Pdo) with unbounded symbol. The entire family of self-adjoint extensions of this operator is studied using harmonic analysis. A regularization procedure for this Pdo is introduced, the limit behavior of the regularized operators when the regularization parameter is removed is analyzed and a nontrivial attractor is exhibited.
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Albeverio, S., Makarov, K.A. (1998). Limit behaviour in a singular perturbation problem, regularized convolution operators and the three-body quantum problem. In: Gohberg, I., Mennicken, R., Tretter, C. (eds) Differential and Integral Operators. Operator Theory: Advances and Applications, vol 102. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8789-2_1
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DOI: https://doi.org/10.1007/978-3-0348-8789-2_1
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