Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane

DOI10.1007/s00208-023-02698-4zbMath1545.35141MaRDI QIDQ6583554

Unnamed Author, Tohru Ozawa, Shou-Fu Tian

Publication date: 6 August 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

zbMATH Keywords

time-dependent Schrödinger equationunified transform method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Schrödinger operator, Schrödinger equation (35J10) Other transforms and operators of Fourier type (43A32) Solutions to PDEs in closed form (35C05) Fourier integral operators applied to PDEs (35S30) Other special methods applied to PDEs (35A25) Time-dependent Schrödinger equations and Dirac equations (35Q41) Classical solutions to PDEs (35A09)

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