Mathematical Physics

    

Spatial-Temporal Oscillations in Boundary Problems of Quantum Mechanics

Authors: Igor B. Krasnyuk

We consider the Schrodinger equation with nonlinear boundary conditions and ini- tial conditions. It is shown that attractor of the problem contains periodic piecewise constant function with nite, countable or uncountable points of discontinuities on a period. Solutions exists for a special class of initial data which are small perturbations of invariant solutions of dynamical system. The problem is considered with accuracy O(h2), where h is a small parameter of the problem. Applications to optical resonators with nonlinear feedback has been considered.

Comments: 27 Pages.

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[v1] 2020-04-12 09:48:22

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