18—22.10.2021, Belgrade, Serbia
Virtual conference

    Main page

    General information    







    Application form


    Previous meetings    


Vsevolod Sakbaev

Dynamics of quantum states generated by the nonlinear Schrodinger equation


We consider the transformation of the initial data space for the Schrodinger equation. We study the phenomenon of global existence of a solution of the Cauchy problem the phenomenon of rise of a solution gradient blow up during a finite time. We define a solution extension through the moment of a gradient blow up using the one-parameter family of probability measures on the initial data space of the Cauchy problem. We show that this extension describes the destruction of a solution as the destruction of a pure quantum state and the transition from the set of pure quantum states into the set of mixed quantum states.