Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model
Nature at the most fundamental level is best understood via the studies inter alia involving the quantum theory and various related practical approaches. In this effort the role played by Erwin Schrödinger's equation including its nonlinear form as well as the different models built around the basic quantum theme are quite well known. There are very specific problems in this connection being investigated at length by many reputed author researchers so far. Work continues. The paper under review here is an authoritative contribution relating to the large-distance (LD) and long-time (LT) asymptotic behavior of the reduced density matrix (RDM) in the nonlinear Schrödinger model (NLSM). Here we see the continuation and consolidation of the author's earlier contribution in this area for the past several years. Indeed, the current presentation is pleasantly lucid and exhaustive enough. There are 5 sections altogether inclusive of the conclusion. The first section of the article is a detailed introduction. The second part presents the NLSM with two sub-sections. The third section with 2 sub-sections covers the concrete method adopted and the main, crucial results. The fourth section with 7 sub-sections is essentially on the form factor series. There are 84 equations, a conjecture, definitions, 2 figures and 4 appendices with 188 equations within the 98 page work. On the whole, the review work by a well-known researcher on an extremely significant topic is surely of great value with a comprehensive bibliography of 85 references also.
scientific article