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

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.

7 pages

References in corpus (3)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Many Body Problems with "Spin"-Related Contact Interactions
• A Remark on One-Dimensional Many-Body Problems with Point Interactions

Cited by in corpus (9)

• Closed formula for the metric in the Hilbert space of a PT-symmetric model
• Discrete PT-symmetric models of scattering
• Solvable PT-symmetric model with a tunable interspersion of non-merging levels
• Solvability and PT-symmetry in a double-well model with point interactions
• Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
• Experiments in PT-symmetric quantum mechanics
• Phase shift analysis of PT-symmetric nonhermitian extension of A_{N-1} Calogero model without confining interaction
• An explicitly solvable model of the spontaneous PT-symmetry breaking
• On Integrability and Pseudo-Hermitian Systems with Spin-Coupling Point Interactions