The Cauchy Problem for the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Coulomb Potential

Authors

Nikolai (Jr) Bogolubov, Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 119991, RussiaFollow
Mukhayo Rasulova, Institute of Nuclear Physics Academy of Sciences Republic of Uzbekistan, Tashkent 100214, Republic of UzbekistanFollow

Author Country (or Countries)

Republic of Uzbekistan

Abstract

The existence of a unique solution, in terms of initial data of the hierarchy of quantum kinetic equations for correlation matrices with Coulomb potential, has been proven. The proof is based on nonrelativistic quantum mechanics and application of semigroup theory methods

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100640

Recommended Citation

(Jr) Bogolubov, Nikolai and Rasulova, Mukhayo (2016) "The Cauchy Problem for the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Coulomb Potential," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 40.
DOI: http://dx.doi.org/10.18576/amis/100640
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/40