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

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

2004-02-25

arxiv.org/abs/quant-ph/0402185v1

Czech J. Phys. 54(2004)43-49

Physics

Quantum Physics

7 pages

Scientific paper

10.1023/B:CJOP.0000014366.93476.

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.

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