2015/11/12 by Vivek M. Vyas, Vyas, Vivek M., Zodinmawia
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1511.03997
10 pages, No figures, LaTeX 2e
arxiv created 2015/11/12 · openalex publication_date 2015/11/12 · arxiv updated 2015/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Nonlocal nonlinear Schrodinger model is quantised and exactly solved using the canonical framework. It is found that the usual canonical quantisation of the model leads to a theory with pathological inner product. This problem is resolved by constructing another inner product over the vector space of the theory. The resultant theory is found to be identical to that of nonrelativistic bosons with delta function interaction potential, devoid of any nonlocality. The exact eigenstates are found using the Bethe ansatz technique.