An algorithm to relate general solutions of different bidimensional problems

DOI10.1063/1.529255zbMath0733.70015OpenAlexW2040906756MaRDI QIDQ3359815

Marco A. Roque, Darío Núñez, Sergio Chayet, Sergio A. Hojman

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.529255

zbMATH Keywords

conformal mappinggeneral solutionsgeometrical opticsvibrating membraneFermat's principlepoint transformationKustaanheimo-Stiefel transformationbidimensional problemsMaupertuis's principle

Mathematics Subject Classification ID

Plates (74K20) Conformal mappings of special domains (30C20) Other variational principles in mechanics (70H30) Geometric optics (78A05)

Related Items (5)

Complex Representation of Planar Motions and Conserved Quantities of the Kepler and Hooke Problems ⋮ Relativistic Runge-Lenz vector: from \( \mathcal{N}=4 \) SYM to SO(4) scalar field theory ⋮ Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation ⋮ Duality properties of Gorringe-Leach equations ⋮ Wallis formula from the harmonic oscillator

Cites Work

• Dynamical breaking of supersymmetry
• New similarity reductions of the Boussinesq equation
• Bäcklund transformations in the Hauser–Ernst formalism for stationary axisymmetric spacetimes
• Kepler orbits and the harmonic oscillator
• Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable

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