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

DOI10.7494/OpMath.2018.38.6.883zbMath1406.35316arXiv1601.08008MaRDI QIDQ4561219

Yan Rybalko

Publication date: 10 December 2018

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.08008

zbMATH Keywords

Schrödinger equationinterface problemsthe Fokas unified transform method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical methods for integral transforms (65R10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (4)

Explicit solutions of cylindrical Schrödinger equation with radial potentials ⋮ Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity ⋮ A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation ⋮ A new application of Schrödinger-type identity to singular boundary value problem for the Schrödinger equation

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