On the Spectrum of Two-Particle Schrödinger Operator with Point Interaction
Zahriddin MuminovNational University of Uzbekistan, Uzbek-Israel Joint Faculty, 100174, Tashkent, UzbekistanУткир КулжановSamarkand Branch of Tashkent State University of Economics, 140147, Samarkand, UzbekistanGolibjon IsmoilovSamarkand State University, Faculty of Mathematics, 140104, Samarkand, Uzbekistan
ABI
Аннотация
We consider a three-dimensional two-particle quantum system interacting with two $$\delta(x\pm x_{0})$$ point interactions centered symmetrically with respect to the origin. The corresponding Schrödinger operator is constructed as a self-adjoint extension of the symmetric Laplace operator, and conditions for the existence of its eigenvalues are studied.
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