Statistical Approach to Nonlinear Schro ̈ dinger Equation. Quantum Case

Authors

Mukhayo Yunusovna Rasulova, Institute of Nuclear Physics, Academy of Sciences of Uzbekistan, Tashkent, 100214, Republic of UzbekistanFollow

Author Country (or Countries)

Republic of Uzbekistan

Abstract

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)

http://dx.doi.org/10.18576/amis/160415

Recommended Citation

Yunusovna Rasulova, Mukhayo (2022) "Statistical Approach to Nonlinear Schro ̈ dinger Equation. Quantum Case," Applied Mathematics & Information Sciences: Vol. 16: Iss. 4, Article 15.
DOI: http://dx.doi.org/10.18576/amis/160415
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/15