Exactly Solvable Many-Body Systems and Pseudo-Hermitian Point Interactions

Author: Fei Shao-Ming  

Publisher: Springer Publishing Company

ISSN: 0011-4626

Source: Czechoslovak Journal of Physics, Vol.54, Iss.1, 2004-01, pp. : 43-49

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Abstract

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.