Integrability and PT-symmetry of $N$-Body Systems with Spin-coupling $\delta$-Interactions

Abstract

We study the PT-symmetric boundary conditions for "spin"-related $\delta$-interactions and the corresponding integrability for both bosonic and fermionic many-body systems. The spectra and bound states are discussed in detail for spin-1/2 particle systems.

7 pages, Latex

References in corpus (4)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• An Exactly Solvable Model of Generalized Spin Ladder
• Many Body Problems with "Spin"-Related Contact Interactions
• A Remark on One-Dimensional Many-Body Problems with Point Interactions

Cited by in corpus (3)

• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• On Integrability and Pseudo-Hermitian Systems with Spin-Coupling Point Interactions
• A Note on Pseudo-Hermitian Systems with Point Interactions and Quantum Separability