Algebraic conditions for conformal superintegrability in arbitrary dimension

DOI10.1007/s00220-023-04872-warXiv2006.15696OpenAlexW3037466147MaRDI QIDQ6203653

Jonathan M. Kress, Konrad Schöbel, Andreas Vollmer

Publication date: 6 April 2024

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

Full work available at URL: https://arxiv.org/abs/2006.15696

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Groups and algebras in quantum theory (81Rxx) Hamiltonian and Lagrangian mechanics (70Hxx)

Cites Work

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• Bôcher contractions of conformally superintegrable Laplace equations
• Classical and quantum superintegrability of Stäckel systems
• Laplace-type equations as conformal superintegrable systems
• Invariant prolongation of the Killing tensor equation
• Cadabra: a field-theory motivated symbolic computer algebra system
• Structure theory for second order 2D superintegrable systems with 1-parameter potentials
• Structural equations for Killing tensors of arbitrary rank
• An algebraic geometric classification of superintegrable systems in the Euclidean plane
• Invariant classification and limits of maximally superintegrable systems in 3D
• Global structure and geodesics for Koenigs superintegrable systems
• Integrability criteria for systems of nonlinear partial differential equations
• Curvature structures and conformal transformations
• The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
• Invariant classification of second-order conformally flat superintegrable systems
• On Reciprocal Equivalence of Stäckel Systems
• Coupling constant metamorphosis andNth-order symmetries in classical and quantum mechanics
• Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties
• Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory
• Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stäckel transform
• Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory
• Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory
• Stäckel-Equivalent Integrable Hamiltonian Systems
• Conformal Killing tensors in reducible spaces
• Superintegrable systems in Darboux spaces
• The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body
• Projectively equivalent 2-dimensional superintegrable systems with projective symmetries
• An Introduction to Conformal Geometry and Tractor Calculus, with a view to Applications in General Relativity
• Separation of Variables and Superintegrability
• Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems
• Generalizing Cramer's Rule: Solving Uniformly Linear Systems of Equations
• Curvature structures and conformal transformations
• An algebraic geometric foundation for a classification of second-order superintegrable systems in arbitrary dimension

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