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4 papers · 2 filters
Bôcher Contractions of Conformally Superintegrable Laplace Equations
Ernest G. Kalnins, Willard Miller, Eyal Subag
The explicit solvability of quantum superintegrable systems is due to symmetry, but the symmetry is often "hidden". The symmetry generators of 2nd order superintegrable systems in…
Laplace equations, conformal superintegrability and Bôcher contractions
E. Kalnins, W. Miller, E. Subag
Quantum superintegrable systems are solvable eigenvalue problems. Their solvability is due to symmetry, but the symmetry is often "hidden". The symmetry generators of 2nd order sup…
Examples of Complete Solvability of 2D Classical Superintegrable Systems
Yuxuan Chen, Ernie G. Kalnins, Qiushi Li +1
Classical (maximal) superintegrable systems in dimensions are Hamiltonian systems with independent constants of the motion, globally defined, the maximum number possible…
Structure Relations and Darboux Contractions for 2D 2nd Order Superintegrable Systems
Robin Heinonen, Ernest G. Kalnins, Willard Miller +1
Two-dimensional quadratic algebras are generalizations of Lie algebras that include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The…