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Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant

Asan ÖMÜRALİEV

A regularized asymptotics of the solution to the time-dependent Schrödinger equation in which the spatial derivative is multiplied by a small Planck constant is constructed. It is shown that the asymptotics of the solution contains a rapidly oscillating boundary layer function. - Keywords: singularly perturbed time-dependent Schrödinger equation regularized asymptotics solutions

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