This article is cited in 12 papers

Three-body problems with $\delta$-functional potentials

Yu. G. Shondin


Abstract: Possible realizations of three-particle singular Hamiltonians corresponding to $\delta$-functional two-body potentials are described. The scheme used to describe the singular potentials is essentially the same as Shirokov's [1, 2]. It is shown that besides the classical model [3, 4] it is possible to have other sensible realizations which go beyond the space of square integrable functions but still have a semibounded Hamiltonian.

Received: 12.02.1981

 English version: Theoretical and Mathematical Physics, 1982, 51:2, 434–441

Bibliographic databases:

• 
•