On the spectrum of the two-particle Schrödinger operator with point potential: one dimensional case

Аннотация

In the paper, a one-dimensional two-particle quantum system interacted by two identical point interactions is considered. The corresponding Schr dinger operator (energy operator) h depending on is constructed as a self-adjoint extension of the symmetric Laplace operator. The main results of the work are based on the study of the operator h . First, the essential spectrum is described. The existence of unique negative eigenvalue of the Schr dinger operator is proved. Further, this eigenvalue and the corresponding eigenfunction are found.

Темы

Идентификаторы

DOI

10.17586/2220-8054-2023-14-5-505-510

Цитирования и источники