SEPARATION OF COUPLED SYSTEMS OF SCHRODINGER EQUATIONS BY DARBOUX TRANSFORMATIONS

DOI10.1142/S0129055X12500067zbMath1242.35010arXiv1103.1894MaRDI QIDQ2884803

Mayer Humi

Publication date: 18 May 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1894

zbMATH Keywords

Schrödinger equationDarboux transformationstwo space dimensionscoupled PDEs

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Schrödinger operator, Schrödinger equation (35J10) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

Solutions to Painleve III and other nonlinear equations by a generalized Cole–Hopf transformation

Cites Work

• The multidimensional Darboux transformation
• Polynomial SUSY in quantum mechanics and second derivative Darboux transformations
• Intertwining technique for the matrix Schrödinger equation
• Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type
• Darboux transformations for Schrödinger equations in two variables
• Separation of coupled systems of differential equations by Darboux transformations
• The Atkinson-Prufer transformation and the eigenvalue problem for coupled systems of Schrodinger equations
• Factorization of systems of differential equations
• Factorisation of separable partial differential equations
• On form-preserving transformations for the time-dependent Schrödinger equation
• Chains of Darboux transformations for the matrix Schrödinger equation
• A nodal theorem for coupled systems of Schrödinger equations and the number of bound states
• The Factorization Method

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