1998/08/20 by Taksu Cheon, Cheon, Taksu, T. Shigehara +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #cond-mat #hep-th #nlin.SI #nucl-th #quant-ph #solv-int
paper · pdf · doi:10.48550/arxiv.quant-ph/9808034
Talk presented at The 7th International Conference on Mathematical Results in Quantum Mechanics (Qmath7), June 22-26, 1998, Prague, Czechland
openalex publication_date 1998/08/20 · arxiv created 1998/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a one-dimensional contact interaction (ε potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the ε potential and the Dirac's δ function, we construct most general one-dimensional contact interactions allowable under the time reversal symmetry. We present some elementary results for the scattering problem which suggest a dual relation between δ and ε potentials.