Initial value problem for the time-dependent linear Schrodinger equation with a point singular potential by the unified transform method

• Autorzy: Rybalko Y.

Identyfikatory

DOI

10.7494/OpMath.2018.38.6.883

• Języki publikacji: EN

Abstrakty

EN

We study an initial value problem for the one-dimensional non-stationary linear Schrodinger equation with a point singular potential. In our approach, the problem is considered as a system of coupled initial-boundary value (IBV) problems on two half-lines, to which we apply the unified approach to IBV problems for linear and integrable nonlinear equations, also known as the Fokas unified transform method. Following the ideas of this method, we obtain the integral representation of the solution of the initial value problem.

Słowa kluczowe

EN

Fokas unified transform method Schrodinger equation; interface problem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 6
• Strony: 883--898
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Rybalko Y.

• V.N. Karazin Kharkiv National University B. Verkin Institute for Low Temperature Physics and Engineering Ukraine

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).