| Selfadjoint extensions of symmetric operators with infinite deficiency indices are discussed. In particular the operators describing the system of several quantum particles are investigated in detail and a few-body analog of Krein's formula for generalized resolvents is proven. The conditions for the semiboundedness of the simplest $M$-body quantum Hamiltonian with point interactionsin in the three-dimensional space are derived |
Keywords
Operator extensions, few-body scattering problem
Math Review Classification
Last Updated
6 June 1999
Length
10 pages
Availability
This article is available in: