We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

This chapter introduces the basic ideas of P T-symmetric systems. It begins with a brief
discussion of closed (isolated) and open (non-isolated) systems and explains that P T …

In this Letter we pose the question of whether a many-body quantum system with a full set of
conserved quantities can relax to an equilibrium state, and, if it can, what the properties of …

A physics‐informed neural network (PINN) that combines deep learning with physics is
studied to solve the nonlinear Schrödinger equation for learning nonlinear dynamics in fiber …

For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

The quantum‐mechanical problems of N 1‐dimensional equal particles of mass m
interacting pairwise via quadratic (``harmonical'') and/or inversely quadratic (``centrifugal'') …

This invaluable book provides a broad introduction to the fascinating and beautiful subject of
many-body quantum systems that can be solved exactly. The subject began with Bethe's …

This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …

Some quantum integrable finite-dimensional systems related to Lie algebras are
considered. This review continues the previous review of the same authors [83] devoted to …