Contact Symmetry of Time-Dependent Schrödinger Equation for a Two-Particle System: Symmetry Classification of Two-Body Central Potentials

DOI10.2991/jnmp.1999.6.1.5zbMath1031.81526arXivmath-ph/9901023OpenAlexW3105166927MaRDI QIDQ4498247

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Publication date: 15 August 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9901023

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Invariance and symmetry properties for PDEs on manifolds (58J70)

Cites Work

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• A general method for deriving Backlund transformations for the Ernst equation
• Contact symmetry algebras of scalar second-order ordinary differential equations
• A general setting for Casimir invariants
• Introduction to Lie Algebras and Representation Theory
• Symmetries and differential equations

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