121 citations · 564 across the 16 of their papers we have counts for
16 papers
Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras
Mauricio A. Escobar Ruiz, Ernest G. Kalnins, Willard Miller +1
Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrabl…
Bocher contractions of conformally superintegrable Laplace equations: Detailed computations
E. G. Kalnins, W. Miller, E. Subag
These supplementary notes in the ArXiv are a companion to our paper "Bocher contractions of conformally superintegrable Laplace equations" [arXiv:1512.09315]. They contain backgrou…
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…
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…
Quadratic algebra contractions and 2nd order superintegrable systems
Ernest G. Kalnins, Willard Miller
Quadratic algebras are generalizations of Lie algebras; they include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases. The superintegrabl…