Finiteness of the discrete spectrum in a three-body system with point interaction

Year, pages: 2017, 1031 - 1042

In this paper we are concerned with a three-body system with point interaction, which is called the Ter-Martirosian–Skornyakov extension. We locate the bottom of the essential spectrum of that system and establish the finiteness of the discrete spectrum below the bottom. Our work here refines the result of [MINLOS, R. A.: \textit{On point-like interaction between $n$ fermions and another particle}, Mosc. Math. J. \textbf{11} (2011), 113–127], where the semi-boundedness of the operator is obtained.

Yoshitomi, K. 2017. Finiteness of the discrete spectrum in a three-body system with point interaction. In Mathematica Slovaca, vol. 67, no.4, pp. 1031-1042. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0030

Yoshitomi, K. (2017). Finiteness of the discrete spectrum in a three-body system with point interaction. Mathematica Slovaca, 67(4), 1031-1042. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0030