Coordinate-space representation of a one dimensional odd-parity pseudopotential
Abstract
We propose a discrete-space representation of a one-dimensional zero-range odd-parity pseudopotential. The proposed representation is validated by applying it to the analytically solvable case of two fermions in a harmonic trap and successfully recovering the exact energy spectrum and eigenfunctions. Furthermore, we use the square-well and modified Pöschl--Teller potentials as finite-range representations of the odd-parity interaction and study their convergence to the contact interaction when the range tends to zero. Finally, we perform natural orbital analysis and compute the eigenvalues of the one-body density matrix for different particle numbers, examining their dependence on the one-dimensional scattering length and identifying distinct physical regimes.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Cold Atom Physics and Bose-Einstein Condensates
Nuclear physics research studies
Publication details
- Journal / source
- Physical Review A
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 2
- Publication date
- 13 January 2026
- Language
- EN