A new method is proposed to obtain nonlinear Schr¨odinger equations by the chain of Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) quantum kinetic equations. In that sense, we investigate the dynamics of a quantum system including an infinite number of identical particles which interact via a (special) pair potential in the form of Dirac delta-function
Digital Object Identifier (DOI)
Yunusovna Rasulova, Mukhayo
"Statistical Approach to Nonlinear Schro ̈ dinger Equation. Quantum Case,"
Applied Mathematics & Information Sciences: Vol. 16:
4, Article 15.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/15