Seminar on nonlinear problems of PDE and mathematical physics «Dynamics of the quantum state space which is generated by Cauchy problem for nonlinear Schrodinger equation»

Seminar on nonlinear problems of PDE and mathematical physics «Dynamics of the quantum state space which is generated by Cauchy problem for nonlinear Schrodinger equation»

The event passed
3 Mar 2020
Location
3, Ordzhonikidze st., аud. 558
About the event

Speaker:  D.Sc.,  Professor Sakbaev V. Zh. (Moscow Institute of Physics and Technology, Moscow)

Title of the talk: «Dynamics of the quantum state space which is generated by Cauchy problem for nonlinear Schrodinger equation».

Abstract: We study the Cauchy problem for nonlinear Schrodinger equation whose coordinate space is the segment. The local unique solvability of Cauchy problem, the effects of global existence and arising of gradient blow up of the solution are investigated. The relationship between the properties of solutions such us gradient blow up, self-focusing and the destruction of the pure quantum state is obtained. The continuations of the dynamical mapping across the arising of gradient blow up are studied in the space of quantum states.

Related eventsAll events
2021
26 Oct
Workshop "Iran and Afghanistan: Global and Regional Aspects of International Relations"
2021
12 Oct
Scientific seminar “On the inversions of the Melrose invariant”
2021
5 Oct
Scientific seminar “Quasi-one-dimensional flow models in studies of human vascular systems”
2021
4 Oct
Young researchers seminar