Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states
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Publication:2284220
DOI10.1134/S1995080219100081zbMath1433.35360OpenAlexW2980862748MaRDI QIDQ2284220
L. S. Efremova, V. Zh. Sakbaev, A. D. Grekhneva
Publication date: 14 January 2020
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080219100081
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Related Items
Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential, Nonlinear Schrödinger equation with delay and its regularization, Dynamics of a set of quantum states generated by a nonlinear Liouville-von Neumann equation
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