Exactly Solvable Many-Body Systems and Pseudo-Hermitian Point   Interactions
  We study Hamiltonian systems with point interactions and give a systematic description of the corresponding boundary conditions and the spectrum properties for self-adjoint, PT-symmetric systems and systems with real spectra. The integrability of one dimensional many body systems with these kinds of point (contact) interactions are investigated for both bosonic and fermionic statistics. 
Shao-Ming Fei